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Finding the Fourth Proportional to 458,924.94, 688,732.08 and 234,473.12

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Solution

The fourth proportional to 458,924.94, 688,732.08 and 234,473.12 is: 351,885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,924.94 : 688,732.08 = 234,473.12 : x
  2. Step 2: Convert to fraction form
    458,924.94/688,732.08 = 234,473.12/x
  3. Step 3: Cross multiply
    458,924.94x = 688,732.08 × 234,473.12
  4. Step 4: Simplify right side
    458,924.94x = 161,489,159,641.69
  5. Step 5: Solve for x
    x = 161,489,159,641.69/458,924.94
  6. Step 6: Final answer
    x = 351,885.78

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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.