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Finding the Fourth Proportional to 287,440.34, 396,641.94 and 160,113.20

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Solution

The fourth proportional to 287,440.34, 396,641.94 and 160,113.20 is: 220,941.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,440.34 : 396,641.94 = 160,113.20 : x
  2. Step 2: Convert to fraction form
    287,440.34/396,641.94 = 160,113.20/x
  3. Step 3: Cross multiply
    287,440.34x = 396,641.94 × 160,113.20
  4. Step 4: Simplify right side
    287,440.34x = 63,507,610,267.61
  5. Step 5: Solve for x
    x = 63,507,610,267.61/287,440.34
  6. Step 6: Final answer
    x = 220,941.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.