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Finding the Fourth Proportional to 314,891.43, 472,009.10 and 137,350.77

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Solution

The fourth proportional to 314,891.43, 472,009.10 and 137,350.77 is: 205,883.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,891.43 : 472,009.10 = 137,350.77 : x
  2. Step 2: Convert to fraction form
    314,891.43/472,009.10 = 137,350.77/x
  3. Step 3: Cross multiply
    314,891.43x = 472,009.10 × 137,350.77
  4. Step 4: Simplify right side
    314,891.43x = 64,830,812,645.25
  5. Step 5: Solve for x
    x = 64,830,812,645.25/314,891.43
  6. Step 6: Final answer
    x = 205,883.06

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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.