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Finding the Fourth Proportional to 435,082.64, 652,641.64 and 207,261.12

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Solution

The fourth proportional to 435,082.64, 652,641.64 and 207,261.12 is: 310,900.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,082.64 : 652,641.64 = 207,261.12 : x
  2. Step 2: Convert to fraction form
    435,082.64/652,641.64 = 207,261.12/x
  3. Step 3: Cross multiply
    435,082.64x = 652,641.64 × 207,261.12
  4. Step 4: Simplify right side
    435,082.64x = 135,267,237,265.04
  5. Step 5: Solve for x
    x = 135,267,237,265.04/435,082.64
  6. Step 6: Final answer
    x = 310,900.10

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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.