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Finding the Fourth Proportional to 698,049.12, 963,348.24 and 525,658.40

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Solution

The fourth proportional to 698,049.12, 963,348.24 and 525,658.40 is: 725,439.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,049.12 : 963,348.24 = 525,658.40 : x
  2. Step 2: Convert to fraction form
    698,049.12/963,348.24 = 525,658.40/x
  3. Step 3: Cross multiply
    698,049.12x = 963,348.24 × 525,658.40
  4. Step 4: Simplify right side
    698,049.12x = 506,392,094,481.22
  5. Step 5: Solve for x
    x = 506,392,094,481.22/698,049.12
  6. Step 6: Final answer
    x = 725,439.06

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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.