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Finding the Fourth Proportional to 617,691.06, 852,374.16 and 345,713.22

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Solution

The fourth proportional to 617,691.06, 852,374.16 and 345,713.22 is: 477,062.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,691.06 : 852,374.16 = 345,713.22 : x
  2. Step 2: Convert to fraction form
    617,691.06/852,374.16 = 345,713.22/x
  3. Step 3: Cross multiply
    617,691.06x = 852,374.16 × 345,713.22
  4. Step 4: Simplify right side
    617,691.06x = 294,677,015,498.40
  5. Step 5: Solve for x
    x = 294,677,015,498.40/617,691.06
  6. Step 6: Final answer
    x = 477,062.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.