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Finding the Fourth Proportional to 314,390.38, 471,301.08 and 114,663.94

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Solution

The fourth proportional to 314,390.38, 471,301.08 and 114,663.94 is: 171,892.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,390.38 : 471,301.08 = 114,663.94 : x
  2. Step 2: Convert to fraction form
    314,390.38/471,301.08 = 114,663.94/x
  3. Step 3: Cross multiply
    314,390.38x = 471,301.08 × 114,663.94
  4. Step 4: Simplify right side
    314,390.38x = 54,041,238,759.06
  5. Step 5: Solve for x
    x = 54,041,238,759.06/314,390.38
  6. Step 6: Final answer
    x = 171,892.15

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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.