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Finding the Fourth Proportional to 511,871.67, 767,955.06 and 156,938.04

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Solution

The fourth proportional to 511,871.67, 767,955.06 and 156,938.04 is: 235,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,871.67 : 767,955.06 = 156,938.04 : x
  2. Step 2: Convert to fraction form
    511,871.67/767,955.06 = 156,938.04/x
  3. Step 3: Cross multiply
    511,871.67x = 767,955.06 × 156,938.04
  4. Step 4: Simplify right side
    511,871.67x = 120,521,361,924.48
  5. Step 5: Solve for x
    x = 120,521,361,924.48/511,871.67
  6. Step 6: Final answer
    x = 235,452.30

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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.