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Finding the Fourth Proportional to 466,862.89, 700,319.15 and 147,039.76

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Solution

The fourth proportional to 466,862.89, 700,319.15 and 147,039.76 is: 220,567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,862.89 : 700,319.15 = 147,039.76 : x
  2. Step 2: Convert to fraction form
    466,862.89/700,319.15 = 147,039.76/x
  3. Step 3: Cross multiply
    466,862.89x = 700,319.15 × 147,039.76
  4. Step 4: Simplify right side
    466,862.89x = 102,974,759,739.40
  5. Step 5: Solve for x
    x = 102,974,759,739.40/466,862.89
  6. Step 6: Final answer
    x = 220,567.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.