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Finding the Fourth Proportional to 382,054.38, 527,223.89 and 218,705.47

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Solution

The fourth proportional to 382,054.38, 527,223.89 and 218,705.47 is: 301,807.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,054.38 : 527,223.89 = 218,705.47 : x
  2. Step 2: Convert to fraction form
    382,054.38/527,223.89 = 218,705.47/x
  3. Step 3: Cross multiply
    382,054.38x = 527,223.89 × 218,705.47
  4. Step 4: Simplify right side
    382,054.38x = 115,306,748,657.68
  5. Step 5: Solve for x
    x = 115,306,748,657.68/382,054.38
  6. Step 6: Final answer
    x = 301,807.16

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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.