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Finding the Fourth Proportional to 697,712.64, 963,109.85 and 678,515.43

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Solution

The fourth proportional to 697,712.64, 963,109.85 and 678,515.43 is: 936,610.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,712.64 : 963,109.85 = 678,515.43 : x
  2. Step 2: Convert to fraction form
    697,712.64/963,109.85 = 678,515.43/x
  3. Step 3: Cross multiply
    697,712.64x = 963,109.85 × 678,515.43
  4. Step 4: Simplify right side
    697,712.64x = 653,484,894,229.07
  5. Step 5: Solve for x
    x = 653,484,894,229.07/697,712.64
  6. Step 6: Final answer
    x = 936,610.38

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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.