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Finding the Fourth Proportional to 676,474.84, 933,542.14 and 408,151

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Solution

The fourth proportional to 676,474.84, 933,542.14 and 408,151 is: 563,252.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,474.84 : 933,542.14 = 408,151 : x
  2. Step 2: Convert to fraction form
    676,474.84/933,542.14 = 408,151/x
  3. Step 3: Cross multiply
    676,474.84x = 933,542.14 × 408,151
  4. Step 4: Simplify right side
    676,474.84x = 381,026,157,983.14
  5. Step 5: Solve for x
    x = 381,026,157,983.14/676,474.84
  6. Step 6: Final answer
    x = 563,252.52

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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.