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Finding the Fourth Proportional to 229,411.40, 344,117.10 and 159,427.40

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Solution

The fourth proportional to 229,411.40, 344,117.10 and 159,427.40 is: 239,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,411.40 : 344,117.10 = 159,427.40 : x
  2. Step 2: Convert to fraction form
    229,411.40/344,117.10 = 159,427.40/x
  3. Step 3: Cross multiply
    229,411.40x = 344,117.10 × 159,427.40
  4. Step 4: Simplify right side
    229,411.40x = 54,861,694,548.54
  5. Step 5: Solve for x
    x = 54,861,694,548.54/229,411.40
  6. Step 6: Final answer
    x = 239,141.10

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1.5x scale

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.