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Finding the Fourth Proportional to 473,589.59, 706,929.63 and 413,801.87

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Solution

The fourth proportional to 473,589.59, 706,929.63 and 413,801.87 is: 617,684.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,589.59 : 706,929.63 = 413,801.87 : x
  2. Step 2: Convert to fraction form
    473,589.59/706,929.63 = 413,801.87/x
  3. Step 3: Cross multiply
    473,589.59x = 706,929.63 × 413,801.87
  4. Step 4: Simplify right side
    473,589.59x = 292,528,797,766.00
  5. Step 5: Solve for x
    x = 292,528,797,766.00/473,589.59
  6. Step 6: Final answer
    x = 617,684.19

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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.