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Finding the Fourth Proportional to 310,082.90, 465,124.35 and 304,834.10

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Solution

The fourth proportional to 310,082.90, 465,124.35 and 304,834.10 is: 457,251.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,082.90 : 465,124.35 = 304,834.10 : x
  2. Step 2: Convert to fraction form
    310,082.90/465,124.35 = 304,834.10/x
  3. Step 3: Cross multiply
    310,082.90x = 465,124.35 × 304,834.10
  4. Step 4: Simplify right side
    310,082.90x = 141,785,762,620.34
  5. Step 5: Solve for x
    x = 141,785,762,620.34/310,082.90
  6. Step 6: Final answer
    x = 457,251.15

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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.