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Finding the Fourth Proportional to 929,594, 1,282,839.74 and 527,186

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Solution

The fourth proportional to 929,594, 1,282,839.74 and 527,186 is: 727,516.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,594 : 1,282,839.74 = 527,186 : x
  2. Step 2: Convert to fraction form
    929,594/1,282,839.74 = 527,186/x
  3. Step 3: Cross multiply
    929,594x = 1,282,839.74 × 527,186
  4. Step 4: Simplify right side
    929,594x = 676,295,151,171.64
  5. Step 5: Solve for x
    x = 676,295,151,171.64/929,594
  6. Step 6: Final answer
    x = 727,516.69

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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.