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Finding the Fourth Proportional to 502,664.64, 754,051.92 and 218,159.60

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Solution

The fourth proportional to 502,664.64, 754,051.92 and 218,159.60 is: 327,263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,664.64 : 754,051.92 = 218,159.60 : x
  2. Step 2: Convert to fraction form
    502,664.64/754,051.92 = 218,159.60/x
  3. Step 3: Cross multiply
    502,664.64x = 754,051.92 × 218,159.60
  4. Step 4: Simplify right side
    502,664.64x = 164,503,665,246.43
  5. Step 5: Solve for x
    x = 164,503,665,246.43/502,664.64
  6. Step 6: Final answer
    x = 327,263.25

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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.