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Finding the Fourth Proportional to 420,565.68, 630,848.44 and 232,223.60

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Solution

The fourth proportional to 420,565.68, 630,848.44 and 232,223.60 is: 348,335.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,565.68 : 630,848.44 = 232,223.60 : x
  2. Step 2: Convert to fraction form
    420,565.68/630,848.44 = 232,223.60/x
  3. Step 3: Cross multiply
    420,565.68x = 630,848.44 × 232,223.60
  4. Step 4: Simplify right side
    420,565.68x = 146,497,895,791.18
  5. Step 5: Solve for x
    x = 146,497,895,791.18/420,565.68
  6. Step 6: Final answer
    x = 348,335.36

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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.