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Finding the Fourth Proportional to 473,597.60, 706,941.56 and 413,809.88

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Solution

The fourth proportional to 473,597.60, 706,941.56 and 413,809.88 is: 617,696.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,597.60 : 706,941.56 = 413,809.88 : x
  2. Step 2: Convert to fraction form
    473,597.60/706,941.56 = 413,809.88/x
  3. Step 3: Cross multiply
    473,597.60x = 706,941.56 × 413,809.88
  4. Step 4: Simplify right side
    473,597.60x = 292,539,402,110.61
  5. Step 5: Solve for x
    x = 292,539,402,110.61/473,597.60
  6. Step 6: Final answer
    x = 617,696.12

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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.