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Finding the Fourth Proportional to 700,158.47, 966,432.88 and 409,837.94

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Solution

The fourth proportional to 700,158.47, 966,432.88 and 409,837.94 is: 565,701.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,158.47 : 966,432.88 = 409,837.94 : x
  2. Step 2: Convert to fraction form
    700,158.47/966,432.88 = 409,837.94/x
  3. Step 3: Cross multiply
    700,158.47x = 966,432.88 × 409,837.94
  4. Step 4: Simplify right side
    700,158.47x = 396,080,860,687.47
  5. Step 5: Solve for x
    x = 396,080,860,687.47/700,158.47
  6. Step 6: Final answer
    x = 565,701.73

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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.