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Finding the Fourth Proportional to 567,814.40, 851,721.60 and 466,337.60

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Solution

The fourth proportional to 567,814.40, 851,721.60 and 466,337.60 is: 699,506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,814.40 : 851,721.60 = 466,337.60 : x
  2. Step 2: Convert to fraction form
    567,814.40/851,721.60 = 466,337.60/x
  3. Step 3: Cross multiply
    567,814.40x = 851,721.60 × 466,337.60
  4. Step 4: Simplify right side
    567,814.40x = 397,189,806,812.16
  5. Step 5: Solve for x
    x = 397,189,806,812.16/567,814.40
  6. Step 6: Final answer
    x = 699,506.40

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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.