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Finding the Fourth Proportional to 435,187, 653,781.12 and 309,133.72

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Solution

The fourth proportional to 435,187, 653,781.12 and 309,133.72 is: 464,411.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,187 : 653,781.12 = 309,133.72 : x
  2. Step 2: Convert to fraction form
    435,187/653,781.12 = 309,133.72/x
  3. Step 3: Cross multiply
    435,187x = 653,781.12 × 309,133.72
  4. Step 4: Simplify right side
    435,187x = 202,105,789,691.37
  5. Step 5: Solve for x
    x = 202,105,789,691.37/435,187
  6. Step 6: Final answer
    x = 464,411.37

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1.5x scale

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.