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Finding the Fourth Proportional to 314,587.31, 471,908.19 and 86,883.02

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Solution

The fourth proportional to 314,587.31, 471,908.19 and 86,883.02 is: 130,332.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,587.31 : 471,908.19 = 86,883.02 : x
  2. Step 2: Convert to fraction form
    314,587.31/471,908.19 = 86,883.02/x
  3. Step 3: Cross multiply
    314,587.31x = 471,908.19 × 86,883.02
  4. Step 4: Simplify right side
    314,587.31x = 41,000,806,350.39
  5. Step 5: Solve for x
    x = 41,000,806,350.39/314,587.31
  6. Step 6: Final answer
    x = 130,332.04

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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.