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Finding the Fourth Proportional to 703,463.15, 970,797.06 and 431,681.15

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Solution

The fourth proportional to 703,463.15, 970,797.06 and 431,681.15 is: 595,730.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,463.15 : 970,797.06 = 431,681.15 : x
  2. Step 2: Convert to fraction form
    703,463.15/970,797.06 = 431,681.15/x
  3. Step 3: Cross multiply
    703,463.15x = 970,797.06 × 431,681.15
  4. Step 4: Simplify right side
    703,463.15x = 419,074,786,423.43
  5. Step 5: Solve for x
    x = 419,074,786,423.43/703,463.15
  6. Step 6: Final answer
    x = 595,730.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.