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Finding the Fourth Proportional to 507,804.80, 761,709.92 and 152,816.40

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Solution

The fourth proportional to 507,804.80, 761,709.92 and 152,816.40 is: 229,225.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,804.80 : 761,709.92 = 152,816.40 : x
  2. Step 2: Convert to fraction form
    507,804.80/761,709.92 = 152,816.40/x
  3. Step 3: Cross multiply
    507,804.80x = 761,709.92 × 152,816.40
  4. Step 4: Simplify right side
    507,804.80x = 116,401,767,054.61
  5. Step 5: Solve for x
    x = 116,401,767,054.61/507,804.80
  6. Step 6: Final answer
    x = 229,225.42

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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.