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Finding the Fourth Proportional to 502,883.64, 754,165.08 and 165,845.88

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Solution

The fourth proportional to 502,883.64, 754,165.08 and 165,845.88 is: 248,715.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,883.64 : 754,165.08 = 165,845.88 : x
  2. Step 2: Convert to fraction form
    502,883.64/754,165.08 = 165,845.88/x
  3. Step 3: Cross multiply
    502,883.64x = 754,165.08 × 165,845.88
  4. Step 4: Simplify right side
    502,883.64x = 125,075,171,357.87
  5. Step 5: Solve for x
    x = 125,075,171,357.87/502,883.64
  6. Step 6: Final answer
    x = 248,715.93

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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.