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Finding the Fourth Proportional to 511,807.82, 767,684.02 and 156,822.86

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Solution

The fourth proportional to 511,807.82, 767,684.02 and 156,822.86 is: 235,225.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,807.82 : 767,684.02 = 156,822.86 : x
  2. Step 2: Convert to fraction form
    511,807.82/767,684.02 = 156,822.86/x
  3. Step 3: Cross multiply
    511,807.82x = 767,684.02 × 156,822.86
  4. Step 4: Simplify right side
    511,807.82x = 120,390,403,592.70
  5. Step 5: Solve for x
    x = 120,390,403,592.70/511,807.82
  6. Step 6: Final answer
    x = 235,225.80

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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.