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Finding the Fourth Proportional to 437,025.40, 655,691.70 and 421,665.40

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Solution

The fourth proportional to 437,025.40, 655,691.70 and 421,665.40 is: 632,646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,025.40 : 655,691.70 = 421,665.40 : x
  2. Step 2: Convert to fraction form
    437,025.40/655,691.70 = 421,665.40/x
  3. Step 3: Cross multiply
    437,025.40x = 655,691.70 × 421,665.40
  4. Step 4: Simplify right side
    437,025.40x = 276,482,502,957.18
  5. Step 5: Solve for x
    x = 276,482,502,957.18/437,025.40
  6. Step 6: Final answer
    x = 632,646.30

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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.