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Finding the Fourth Proportional to 420,458.16, 580,234.32 and 229,476

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Solution

The fourth proportional to 420,458.16, 580,234.32 and 229,476 is: 316,678.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,458.16 : 580,234.32 = 229,476 : x
  2. Step 2: Convert to fraction form
    420,458.16/580,234.32 = 229,476/x
  3. Step 3: Cross multiply
    420,458.16x = 580,234.32 × 229,476
  4. Step 4: Simplify right side
    420,458.16x = 133,149,850,816.32
  5. Step 5: Solve for x
    x = 133,149,850,816.32/420,458.16
  6. Step 6: Final answer
    x = 316,678.00

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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.