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Finding the Fourth Proportional to 424,224, 585,442.80 and 233,251.20

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Solution

The fourth proportional to 424,224, 585,442.80 and 233,251.20 is: 321,894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,224 : 585,442.80 = 233,251.20 : x
  2. Step 2: Convert to fraction form
    424,224/585,442.80 = 233,251.20/x
  3. Step 3: Cross multiply
    424,224x = 585,442.80 × 233,251.20
  4. Step 4: Simplify right side
    424,224x = 136,555,235,631.36
  5. Step 5: Solve for x
    x = 136,555,235,631.36/424,224
  6. Step 6: Final answer
    x = 321,894.18

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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.