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Finding the Fourth Proportional to 507,613.20, 761,419.80 and 465,622.80

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Solution

The fourth proportional to 507,613.20, 761,419.80 and 465,622.80 is: 698,434.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,613.20 : 761,419.80 = 465,622.80 : x
  2. Step 2: Convert to fraction form
    507,613.20/761,419.80 = 465,622.80/x
  3. Step 3: Cross multiply
    507,613.20x = 761,419.80 × 465,622.80
  4. Step 4: Simplify right side
    507,613.20x = 354,534,419,251.44
  5. Step 5: Solve for x
    x = 354,534,419,251.44/507,613.20
  6. Step 6: Final answer
    x = 698,434.20

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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.