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Finding the Fourth Proportional to 698,106.07, 963,444.41 and 411,681.97

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Solution

The fourth proportional to 698,106.07, 963,444.41 and 411,681.97 is: 568,155.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,106.07 : 963,444.41 = 411,681.97 : x
  2. Step 2: Convert to fraction form
    698,106.07/963,444.41 = 411,681.97/x
  3. Step 3: Cross multiply
    698,106.07x = 963,444.41 × 411,681.97
  4. Step 4: Simplify right side
    698,106.07x = 396,632,692,694.29
  5. Step 5: Solve for x
    x = 396,632,692,694.29/698,106.07
  6. Step 6: Final answer
    x = 568,155.34

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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.