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Finding the Fourth Proportional to 511,398.34, 766,974.45 and 156,415.42

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Solution

The fourth proportional to 511,398.34, 766,974.45 and 156,415.42 is: 234,585.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,398.34 : 766,974.45 = 156,415.42 : x
  2. Step 2: Convert to fraction form
    511,398.34/766,974.45 = 156,415.42/x
  3. Step 3: Cross multiply
    511,398.34x = 766,974.45 × 156,415.42
  4. Step 4: Simplify right side
    511,398.34x = 119,966,630,726.02
  5. Step 5: Solve for x
    x = 119,966,630,726.02/511,398.34
  6. Step 6: Final answer
    x = 234,585.49

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1.5x scale

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.