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Finding the Fourth Proportional to 282,605.76, 389,994.84 and 161,746.56

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Solution

The fourth proportional to 282,605.76, 389,994.84 and 161,746.56 is: 223,209.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,605.76 : 389,994.84 = 161,746.56 : x
  2. Step 2: Convert to fraction form
    282,605.76/389,994.84 = 161,746.56/x
  3. Step 3: Cross multiply
    282,605.76x = 389,994.84 × 161,746.56
  4. Step 4: Simplify right side
    282,605.76x = 63,080,323,787.75
  5. Step 5: Solve for x
    x = 63,080,323,787.75/282,605.76
  6. Step 6: Final answer
    x = 223,209.62

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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.