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Finding the Fourth Proportional to 698,885.56, 962,082 and 517,255.22

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Solution

The fourth proportional to 698,885.56, 962,082 and 517,255.22 is: 712,050.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,885.56 : 962,082 = 517,255.22 : x
  2. Step 2: Convert to fraction form
    698,885.56/962,082 = 517,255.22/x
  3. Step 3: Cross multiply
    698,885.56x = 962,082 × 517,255.22
  4. Step 4: Simplify right side
    698,885.56x = 497,641,936,568.04
  5. Step 5: Solve for x
    x = 497,641,936,568.04/698,885.56
  6. Step 6: Final answer
    x = 712,050.68

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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.