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Finding the Fourth Proportional to 473,598.60, 706,943.05 and 413,810.88

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Solution

The fourth proportional to 473,598.60, 706,943.05 and 413,810.88 is: 617,697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,598.60 : 706,943.05 = 413,810.88 : x
  2. Step 2: Convert to fraction form
    473,598.60/706,943.05 = 413,810.88/x
  3. Step 3: Cross multiply
    473,598.60x = 706,943.05 × 413,810.88
  4. Step 4: Simplify right side
    473,598.60x = 292,540,725,630.38
  5. Step 5: Solve for x
    x = 292,540,725,630.38/473,598.60
  6. Step 6: Final answer
    x = 617,697.61

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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.