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Finding the Fourth Proportional to 265,718.64, 398,767.50 and 147,484.56

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Solution

The fourth proportional to 265,718.64, 398,767.50 and 147,484.56 is: 221,332.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,718.64 : 398,767.50 = 147,484.56 : x
  2. Step 2: Convert to fraction form
    265,718.64/398,767.50 = 147,484.56/x
  3. Step 3: Cross multiply
    265,718.64x = 398,767.50 × 147,484.56
  4. Step 4: Simplify right side
    265,718.64x = 58,812,049,279.80
  5. Step 5: Solve for x
    x = 58,812,049,279.80/265,718.64
  6. Step 6: Final answer
    x = 221,332.04

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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.