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Finding the Fourth Proportional to 418,298.98, 627,171.09 and 152,027.86

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Solution

The fourth proportional to 418,298.98, 627,171.09 and 152,027.86 is: 227,940.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,298.98 : 627,171.09 = 152,027.86 : x
  2. Step 2: Convert to fraction form
    418,298.98/627,171.09 = 152,027.86/x
  3. Step 3: Cross multiply
    418,298.98x = 627,171.09 × 152,027.86
  4. Step 4: Simplify right side
    418,298.98x = 95,347,478,666.57
  5. Step 5: Solve for x
    x = 95,347,478,666.57/418,298.98
  6. Step 6: Final answer
    x = 227,940.98

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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.