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Finding the Fourth Proportional to 523,587.30, 781,834.08 and 415,761.18

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Solution

The fourth proportional to 523,587.30, 781,834.08 and 415,761.18 is: 620,825.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,587.30 : 781,834.08 = 415,761.18 : x
  2. Step 2: Convert to fraction form
    523,587.30/781,834.08 = 415,761.18/x
  3. Step 3: Cross multiply
    523,587.30x = 781,834.08 × 415,761.18
  4. Step 4: Simplify right side
    523,587.30x = 325,056,259,665.01
  5. Step 5: Solve for x
    x = 325,056,259,665.01/523,587.30
  6. Step 6: Final answer
    x = 620,825.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.