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Finding the Fourth Proportional to 698,101.64, 963,275.31 and 392,119.41

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Solution

The fourth proportional to 698,101.64, 963,275.31 and 392,119.41 is: 541,065.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,101.64 : 963,275.31 = 392,119.41 : x
  2. Step 2: Convert to fraction form
    698,101.64/963,275.31 = 392,119.41/x
  3. Step 3: Cross multiply
    698,101.64x = 963,275.31 × 392,119.41
  4. Step 4: Simplify right side
    698,101.64x = 377,718,946,224.77
  5. Step 5: Solve for x
    x = 377,718,946,224.77/698,101.64
  6. Step 6: Final answer
    x = 541,065.83

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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.