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Finding the Fourth Proportional to 511,570.40, 767,354.40 and 137,593.76

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Solution

The fourth proportional to 511,570.40, 767,354.40 and 137,593.76 is: 206,390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,570.40 : 767,354.40 = 137,593.76 : x
  2. Step 2: Convert to fraction form
    511,570.40/767,354.40 = 137,593.76/x
  3. Step 3: Cross multiply
    511,570.40x = 767,354.40 × 137,593.76
  4. Step 4: Simplify right side
    511,570.40x = 105,583,177,148.54
  5. Step 5: Solve for x
    x = 105,583,177,148.54/511,570.40
  6. Step 6: Final answer
    x = 206,390.32

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1.5x scale

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.