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Finding the Fourth Proportional to 597,902.80, 824,248.56 and 470,356.96

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Solution

The fourth proportional to 597,902.80, 824,248.56 and 470,356.96 is: 648,418.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,902.80 : 824,248.56 = 470,356.96 : x
  2. Step 2: Convert to fraction form
    597,902.80/824,248.56 = 470,356.96/x
  3. Step 3: Cross multiply
    597,902.80x = 824,248.56 × 470,356.96
  4. Step 4: Simplify right side
    597,902.80x = 387,691,046,965.98
  5. Step 5: Solve for x
    x = 387,691,046,965.98/597,902.80
  6. Step 6: Final answer
    x = 648,418.18

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