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Finding the Fourth Proportional to 522,589.70, 784,016.16 and 148,612.70

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Solution

The fourth proportional to 522,589.70, 784,016.16 and 148,612.70 is: 222,956.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,589.70 : 784,016.16 = 148,612.70 : x
  2. Step 2: Convert to fraction form
    522,589.70/784,016.16 = 148,612.70/x
  3. Step 3: Cross multiply
    522,589.70x = 784,016.16 × 148,612.70
  4. Step 4: Simplify right side
    522,589.70x = 116,514,754,461.15
  5. Step 5: Solve for x
    x = 116,514,754,461.15/522,589.70
  6. Step 6: Final answer
    x = 222,956.47

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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.