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Finding the Fourth Proportional to 276,099.40, 413,565.90 and 229,443.40

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Solution

The fourth proportional to 276,099.40, 413,565.90 and 229,443.40 is: 343,680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,099.40 : 413,565.90 = 229,443.40 : x
  2. Step 2: Convert to fraction form
    276,099.40/413,565.90 = 229,443.40/x
  3. Step 3: Cross multiply
    276,099.40x = 413,565.90 × 229,443.40
  4. Step 4: Simplify right side
    276,099.40x = 94,889,966,220.06
  5. Step 5: Solve for x
    x = 94,889,966,220.06/276,099.40
  6. Step 6: Final answer
    x = 343,680.45

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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.