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Finding the Fourth Proportional to 511,275.68, 766,830.46 and 241,403.30

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Solution

The fourth proportional to 511,275.68, 766,830.46 and 241,403.30 is: 362,065.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,275.68 : 766,830.46 = 241,403.30 : x
  2. Step 2: Convert to fraction form
    511,275.68/766,830.46 = 241,403.30/x
  3. Step 3: Cross multiply
    511,275.68x = 766,830.46 × 241,403.30
  4. Step 4: Simplify right side
    511,275.68x = 185,115,399,750.37
  5. Step 5: Solve for x
    x = 185,115,399,750.37/511,275.68
  6. Step 6: Final answer
    x = 362,065.72

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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.