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Finding the Fourth Proportional to 507,404.25, 761,151.33 and 133,427.25

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Solution

The fourth proportional to 507,404.25, 761,151.33 and 133,427.25 is: 200,152.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,404.25 : 761,151.33 = 133,427.25 : x
  2. Step 2: Convert to fraction form
    507,404.25/761,151.33 = 133,427.25/x
  3. Step 3: Cross multiply
    507,404.25x = 761,151.33 × 133,427.25
  4. Step 4: Simplify right side
    507,404.25x = 101,558,328,795.74
  5. Step 5: Solve for x
    x = 101,558,328,795.74/507,404.25
  6. Step 6: Final answer
    x = 200,152.70

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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.