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Finding the Fourth Proportional to 345,488, 476,892.76 and 202,294.08

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Solution

The fourth proportional to 345,488, 476,892.76 and 202,294.08 is: 279,235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,488 : 476,892.76 = 202,294.08 : x
  2. Step 2: Convert to fraction form
    345,488/476,892.76 = 202,294.08/x
  3. Step 3: Cross multiply
    345,488x = 476,892.76 × 202,294.08
  4. Step 4: Simplify right side
    345,488x = 96,472,582,142.86
  5. Step 5: Solve for x
    x = 96,472,582,142.86/345,488
  6. Step 6: Final answer
    x = 279,235.70

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