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Finding the Fourth Proportional to 507,301.60, 761,146.80 and 499,331.20

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Solution

The fourth proportional to 507,301.60, 761,146.80 and 499,331.20 is: 749,188.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,301.60 : 761,146.80 = 499,331.20 : x
  2. Step 2: Convert to fraction form
    507,301.60/761,146.80 = 499,331.20/x
  3. Step 3: Cross multiply
    507,301.60x = 761,146.80 × 499,331.20
  4. Step 4: Simplify right side
    507,301.60x = 380,064,345,020.16
  5. Step 5: Solve for x
    x = 380,064,345,020.16/507,301.60
  6. Step 6: Final answer
    x = 749,188.15

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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.