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Finding the Fourth Proportional to 408,458.96, 563,590.04 and 238,660.24

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Solution

The fourth proportional to 408,458.96, 563,590.04 and 238,660.24 is: 329,302.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,458.96 : 563,590.04 = 238,660.24 : x
  2. Step 2: Convert to fraction form
    408,458.96/563,590.04 = 238,660.24/x
  3. Step 3: Cross multiply
    408,458.96x = 563,590.04 × 238,660.24
  4. Step 4: Simplify right side
    408,458.96x = 134,506,534,208.01
  5. Step 5: Solve for x
    x = 134,506,534,208.01/408,458.96
  6. Step 6: Final answer
    x = 329,302.44

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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.