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Finding the Fourth Proportional to 511,803.88, 767,678.15 and 156,818.93

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Solution

The fourth proportional to 511,803.88, 767,678.15 and 156,818.93 is: 235,219.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,803.88 : 767,678.15 = 156,818.93 : x
  2. Step 2: Convert to fraction form
    511,803.88/767,678.15 = 156,818.93/x
  3. Step 3: Cross multiply
    511,803.88x = 767,678.15 × 156,818.93
  4. Step 4: Simplify right side
    511,803.88x = 120,386,466,057.12
  5. Step 5: Solve for x
    x = 120,386,466,057.12/511,803.88
  6. Step 6: Final answer
    x = 235,219.92

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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.