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Finding the Fourth Proportional to 442,717.96, 610,874.49 and 249,098.80

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Solution

The fourth proportional to 442,717.96, 610,874.49 and 249,098.80 is: 343,713.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,717.96 : 610,874.49 = 249,098.80 : x
  2. Step 2: Convert to fraction form
    442,717.96/610,874.49 = 249,098.80/x
  3. Step 3: Cross multiply
    442,717.96x = 610,874.49 × 249,098.80
  4. Step 4: Simplify right side
    442,717.96x = 152,168,102,409.61
  5. Step 5: Solve for x
    x = 152,168,102,409.61/442,717.96
  6. Step 6: Final answer
    x = 343,713.42

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Why These Related Problems?

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