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Finding the Fourth Proportional to 317,476.38, 438,103.35 and 174,236.70

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Solution

The fourth proportional to 317,476.38, 438,103.35 and 174,236.70 is: 240,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,476.38 : 438,103.35 = 174,236.70 : x
  2. Step 2: Convert to fraction form
    317,476.38/438,103.35 = 174,236.70/x
  3. Step 3: Cross multiply
    317,476.38x = 438,103.35 × 174,236.70
  4. Step 4: Simplify right side
    317,476.38x = 76,333,681,962.95
  5. Step 5: Solve for x
    x = 76,333,681,962.95/317,476.38
  6. Step 6: Final answer
    x = 240,438.93

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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.