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Finding the Fourth Proportional to 512,569.20, 768,565.82 and 212,848.14

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Solution

The fourth proportional to 512,569.20, 768,565.82 and 212,848.14 is: 319,152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,569.20 : 768,565.82 = 212,848.14 : x
  2. Step 2: Convert to fraction form
    512,569.20/768,565.82 = 212,848.14/x
  3. Step 3: Cross multiply
    512,569.20x = 768,565.82 × 212,848.14
  4. Step 4: Simplify right side
    512,569.20x = 163,587,805,254.58
  5. Step 5: Solve for x
    x = 163,587,805,254.58/512,569.20
  6. Step 6: Final answer
    x = 319,152.62

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