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Finding the Fourth Proportional to 387,086.97, 580,698.54 and 176,746.17

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Solution

The fourth proportional to 387,086.97, 580,698.54 and 176,746.17 is: 265,150.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,086.97 : 580,698.54 = 176,746.17 : x
  2. Step 2: Convert to fraction form
    387,086.97/580,698.54 = 176,746.17/x
  3. Step 3: Cross multiply
    387,086.97x = 580,698.54 × 176,746.17
  4. Step 4: Simplify right side
    387,086.97x = 102,636,242,869.59
  5. Step 5: Solve for x
    x = 102,636,242,869.59/387,086.97
  6. Step 6: Final answer
    x = 265,150.34

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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.