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Finding the Fourth Proportional to 706,131.64, 974,930.86 and 542,496.66

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Solution

The fourth proportional to 706,131.64, 974,930.86 and 542,496.66 is: 749,005.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,131.64 : 974,930.86 = 542,496.66 : x
  2. Step 2: Convert to fraction form
    706,131.64/974,930.86 = 542,496.66/x
  3. Step 3: Cross multiply
    706,131.64x = 974,930.86 × 542,496.66
  4. Step 4: Simplify right side
    706,131.64x = 528,896,735,280.93
  5. Step 5: Solve for x
    x = 528,896,735,280.93/706,131.64
  6. Step 6: Final answer
    x = 749,005.86

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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.