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Finding the Fourth Proportional to 676,475.84, 933,543.52 and 408,152

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Solution

The fourth proportional to 676,475.84, 933,543.52 and 408,152 is: 563,253.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,475.84 : 933,543.52 = 408,152 : x
  2. Step 2: Convert to fraction form
    676,475.84/933,543.52 = 408,152/x
  3. Step 3: Cross multiply
    676,475.84x = 933,543.52 × 408,152
  4. Step 4: Simplify right side
    676,475.84x = 381,027,654,775.04
  5. Step 5: Solve for x
    x = 381,027,654,775.04/676,475.84
  6. Step 6: Final answer
    x = 563,253.90

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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.