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Finding the Fourth Proportional to 431,981.40, 647,972.10 and 431,981.40

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Solution

The fourth proportional to 431,981.40, 647,972.10 and 431,981.40 is: 647,972.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,981.40 : 647,972.10 = 431,981.40 : x
  2. Step 2: Convert to fraction form
    431,981.40/647,972.10 = 431,981.40/x
  3. Step 3: Cross multiply
    431,981.40x = 647,972.10 × 431,981.40
  4. Step 4: Simplify right side
    431,981.40x = 279,911,894,918.94
  5. Step 5: Solve for x
    x = 279,911,894,918.94/431,981.40
  6. Step 6: Final answer
    x = 647,972.10

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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.