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Finding the Fourth Proportional to 282,761.50, 390,211.68 and 161,904.64

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Solution

The fourth proportional to 282,761.50, 390,211.68 and 161,904.64 is: 223,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,761.50 : 390,211.68 = 161,904.64 : x
  2. Step 2: Convert to fraction form
    282,761.50/390,211.68 = 161,904.64/x
  3. Step 3: Cross multiply
    282,761.50x = 390,211.68 × 161,904.64
  4. Step 4: Simplify right side
    282,761.50x = 63,177,081,574.20
  5. Step 5: Solve for x
    x = 63,177,081,574.20/282,761.50
  6. Step 6: Final answer
    x = 223,428.87

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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.