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Finding the Fourth Proportional to 507,573, 761,359.50 and 175,149

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Solution

The fourth proportional to 507,573, 761,359.50 and 175,149 is: 262,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,573 : 761,359.50 = 175,149 : x
  2. Step 2: Convert to fraction form
    507,573/761,359.50 = 175,149/x
  3. Step 3: Cross multiply
    507,573x = 761,359.50 × 175,149
  4. Step 4: Simplify right side
    507,573x = 133,351,355,065.50
  5. Step 5: Solve for x
    x = 133,351,355,065.50/507,573
  6. Step 6: Final answer
    x = 262,723.50

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Half scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.