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Finding the Fourth Proportional to 417,458.96, 625,690.21 and 227,967.02

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Solution

The fourth proportional to 417,458.96, 625,690.21 and 227,967.02 is: 341,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,458.96 : 625,690.21 = 227,967.02 : x
  2. Step 2: Convert to fraction form
    417,458.96/625,690.21 = 227,967.02/x
  3. Step 3: Cross multiply
    417,458.96x = 625,690.21 × 227,967.02
  4. Step 4: Simplify right side
    417,458.96x = 142,636,734,108.34
  5. Step 5: Solve for x
    x = 142,636,734,108.34/417,458.96
  6. Step 6: Final answer
    x = 341,678.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.