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Finding the Fourth Proportional to 402,338.40, 602,523.45 and 191,730.30

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Solution

The fourth proportional to 402,338.40, 602,523.45 and 191,730.30 is: 287,126.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,338.40 : 602,523.45 = 191,730.30 : x
  2. Step 2: Convert to fraction form
    402,338.40/602,523.45 = 191,730.30/x
  3. Step 3: Cross multiply
    402,338.40x = 602,523.45 × 191,730.30
  4. Step 4: Simplify right side
    402,338.40x = 115,522,001,825.54
  5. Step 5: Solve for x
    x = 115,522,001,825.54/402,338.40
  6. Step 6: Final answer
    x = 287,126.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.