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Finding the Fourth Proportional to 511,983.32, 767,352.42 and 362,266.83

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Solution

The fourth proportional to 511,983.32, 767,352.42 and 362,266.83 is: 542,959.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,983.32 : 767,352.42 = 362,266.83 : x
  2. Step 2: Convert to fraction form
    511,983.32/767,352.42 = 362,266.83/x
  3. Step 3: Cross multiply
    511,983.32x = 767,352.42 × 362,266.83
  4. Step 4: Simplify right side
    511,983.32x = 277,986,328,686.23
  5. Step 5: Solve for x
    x = 277,986,328,686.23/511,983.32
  6. Step 6: Final answer
    x = 542,959.74

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Double scale
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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.