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Finding the Fourth Proportional to 532,735.13, 735,188.87 and 317,999.75

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Solution

The fourth proportional to 532,735.13, 735,188.87 and 317,999.75 is: 438,848.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,735.13 : 735,188.87 = 317,999.75 : x
  2. Step 2: Convert to fraction form
    532,735.13/735,188.87 = 317,999.75/x
  3. Step 3: Cross multiply
    532,735.13x = 735,188.87 × 317,999.75
  4. Step 4: Simplify right side
    532,735.13x = 233,789,874,708.00
  5. Step 5: Solve for x
    x = 233,789,874,708.00/532,735.13
  6. Step 6: Final answer
    x = 438,848.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.