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Finding the Fourth Proportional to 408,450.24, 563,656.32 and 229,602.24

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Solution

The fourth proportional to 408,450.24, 563,656.32 and 229,602.24 is: 316,848.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,450.24 : 563,656.32 = 229,602.24 : x
  2. Step 2: Convert to fraction form
    408,450.24/563,656.32 = 229,602.24/x
  3. Step 3: Cross multiply
    408,450.24x = 563,656.32 × 229,602.24
  4. Step 4: Simplify right side
    408,450.24x = 129,416,753,662.16
  5. Step 5: Solve for x
    x = 129,416,753,662.16/408,450.24
  6. Step 6: Final answer
    x = 316,848.27

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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.