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Finding the Fourth Proportional to 314,013.93, 471,972.51 and 207,760.29

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Solution

The fourth proportional to 314,013.93, 471,972.51 and 207,760.29 is: 312,270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,013.93 : 471,972.51 = 207,760.29 : x
  2. Step 2: Convert to fraction form
    314,013.93/471,972.51 = 207,760.29/x
  3. Step 3: Cross multiply
    314,013.93x = 471,972.51 × 207,760.29
  4. Step 4: Simplify right side
    314,013.93x = 98,057,145,549.63
  5. Step 5: Solve for x
    x = 98,057,145,549.63/314,013.93
  6. Step 6: Final answer
    x = 312,270.05

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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.