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Finding the Fourth Proportional to 698,567.20, 964,386 and 543,173.92

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Solution

The fourth proportional to 698,567.20, 964,386 and 543,173.92 is: 749,862.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,567.20 : 964,386 = 543,173.92 : x
  2. Step 2: Convert to fraction form
    698,567.20/964,386 = 543,173.92/x
  3. Step 3: Cross multiply
    698,567.20x = 964,386 × 543,173.92
  4. Step 4: Simplify right side
    698,567.20x = 523,829,324,013.12
  5. Step 5: Solve for x
    x = 523,829,324,013.12/698,567.20
  6. Step 6: Final answer
    x = 749,862.47

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1.5x scale

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.