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Finding the Fourth Proportional to 314,596.48, 471,720.64 and 124,864.64

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Solution

The fourth proportional to 314,596.48, 471,720.64 and 124,864.64 is: 187,227.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,596.48 : 471,720.64 = 124,864.64 : x
  2. Step 2: Convert to fraction form
    314,596.48/471,720.64 = 124,864.64/x
  3. Step 3: Cross multiply
    314,596.48x = 471,720.64 × 124,864.64
  4. Step 4: Simplify right side
    314,596.48x = 58,901,227,894.17
  5. Step 5: Solve for x
    x = 58,901,227,894.17/314,596.48
  6. Step 6: Final answer
    x = 187,227.87

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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.