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Finding the Fourth Proportional to 311,825.64, 430,319.41 and 168,585.64

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Solution

The fourth proportional to 311,825.64, 430,319.41 and 168,585.64 is: 232,648.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,825.64 : 430,319.41 = 168,585.64 : x
  2. Step 2: Convert to fraction form
    311,825.64/430,319.41 = 168,585.64/x
  3. Step 3: Cross multiply
    311,825.64x = 430,319.41 × 168,585.64
  4. Step 4: Simplify right side
    311,825.64x = 72,545,673,139.27
  5. Step 5: Solve for x
    x = 72,545,673,139.27/311,825.64
  6. Step 6: Final answer
    x = 232,648.20

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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.