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Finding the Fourth Proportional to 426,734.32, 639,960.77 and 142,346.50

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Solution

The fourth proportional to 426,734.32, 639,960.77 and 142,346.50 is: 213,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,734.32 : 639,960.77 = 142,346.50 : x
  2. Step 2: Convert to fraction form
    426,734.32/639,960.77 = 142,346.50/x
  3. Step 3: Cross multiply
    426,734.32x = 639,960.77 × 142,346.50
  4. Step 4: Simplify right side
    426,734.32x = 91,096,175,746.81
  5. Step 5: Solve for x
    x = 91,096,175,746.81/426,734.32
  6. Step 6: Final answer
    x = 213,472.81

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