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Finding the Fourth Proportional to 546,698.97, 819,332.82 and 293,683.73

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Solution

The fourth proportional to 546,698.97, 819,332.82 and 293,683.73 is: 440,141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,698.97 : 819,332.82 = 293,683.73 : x
  2. Step 2: Convert to fraction form
    546,698.97/819,332.82 = 293,683.73/x
  3. Step 3: Cross multiply
    546,698.97x = 819,332.82 × 293,683.73
  4. Step 4: Simplify right side
    546,698.97x = 240,624,714,592.35
  5. Step 5: Solve for x
    x = 240,624,714,592.35/546,698.97
  6. Step 6: Final answer
    x = 440,141.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.