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Finding the Fourth Proportional to 390,974.49, 584,035.94 and 283,505.31

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Solution

The fourth proportional to 390,974.49, 584,035.94 and 283,505.31 is: 423,498.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,974.49 : 584,035.94 = 283,505.31 : x
  2. Step 2: Convert to fraction form
    390,974.49/584,035.94 = 283,505.31/x
  3. Step 3: Cross multiply
    390,974.49x = 584,035.94 × 283,505.31
  4. Step 4: Simplify right side
    390,974.49x = 165,577,290,929.61
  5. Step 5: Solve for x
    x = 165,577,290,929.61/390,974.49
  6. Step 6: Final answer
    x = 423,498.96

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