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Finding the Fourth Proportional to 511,803.81, 767,678.02 and 156,818.86

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Solution

The fourth proportional to 511,803.81, 767,678.02 and 156,818.86 is: 235,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,803.81 : 767,678.02 = 156,818.86 : x
  2. Step 2: Convert to fraction form
    511,803.81/767,678.02 = 156,818.86/x
  3. Step 3: Cross multiply
    511,803.81x = 767,678.02 × 156,818.86
  4. Step 4: Simplify right side
    511,803.81x = 120,386,389,632.22
  5. Step 5: Solve for x
    x = 120,386,389,632.22/511,803.81
  6. Step 6: Final answer
    x = 235,219.80

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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.