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Finding the Fourth Proportional to 442,281.71, 609,866.42 and 298,792.61

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Solution

The fourth proportional to 442,281.71, 609,866.42 and 298,792.61 is: 412,007.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,281.71 : 609,866.42 = 298,792.61 : x
  2. Step 2: Convert to fraction form
    442,281.71/609,866.42 = 298,792.61/x
  3. Step 3: Cross multiply
    442,281.71x = 609,866.42 × 298,792.61
  4. Step 4: Simplify right side
    442,281.71x = 182,223,574,839.86
  5. Step 5: Solve for x
    x = 182,223,574,839.86/442,281.71
  6. Step 6: Final answer
    x = 412,007.94

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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.