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Finding the Fourth Proportional to 652,538.84, 900,301.79 and 380,414.11

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Solution

The fourth proportional to 652,538.84, 900,301.79 and 380,414.11 is: 524,853.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,538.84 : 900,301.79 = 380,414.11 : x
  2. Step 2: Convert to fraction form
    652,538.84/900,301.79 = 380,414.11/x
  3. Step 3: Cross multiply
    652,538.84x = 900,301.79 × 380,414.11
  4. Step 4: Simplify right side
    652,538.84x = 342,487,501,156.73
  5. Step 5: Solve for x
    x = 342,487,501,156.73/652,538.84
  6. Step 6: Final answer
    x = 524,853.82

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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.