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Finding the Fourth Proportional to 314,447.93, 471,699.23 and 101,237.30

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Solution

The fourth proportional to 314,447.93, 471,699.23 and 101,237.30 is: 151,864.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,447.93 : 471,699.23 = 101,237.30 : x
  2. Step 2: Convert to fraction form
    314,447.93/471,699.23 = 101,237.30/x
  3. Step 3: Cross multiply
    314,447.93x = 471,699.23 × 101,237.30
  4. Step 4: Simplify right side
    314,447.93x = 47,753,553,592.60
  5. Step 5: Solve for x
    x = 47,753,553,592.60/314,447.93
  6. Step 6: Final answer
    x = 151,864.74

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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.