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Finding the Fourth Proportional to 698,188.74, 963,498.42 and 407,857.20

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Solution

The fourth proportional to 698,188.74, 963,498.42 and 407,857.20 is: 562,841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,188.74 : 963,498.42 = 407,857.20 : x
  2. Step 2: Convert to fraction form
    698,188.74/963,498.42 = 407,857.20/x
  3. Step 3: Cross multiply
    698,188.74x = 963,498.42 × 407,857.20
  4. Step 4: Simplify right side
    698,188.74x = 392,969,767,785.62
  5. Step 5: Solve for x
    x = 392,969,767,785.62/698,188.74
  6. Step 6: Final answer
    x = 562,841.74

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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.