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Finding the Fourth Proportional to 516,576.80, 774,974.55 and 156,718.10

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Solution

The fourth proportional to 516,576.80, 774,974.55 and 156,718.10 is: 235,110.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,576.80 : 774,974.55 = 156,718.10 : x
  2. Step 2: Convert to fraction form
    516,576.80/774,974.55 = 156,718.10/x
  3. Step 3: Cross multiply
    516,576.80x = 774,974.55 × 156,718.10
  4. Step 4: Simplify right side
    516,576.80x = 121,452,539,024.36
  5. Step 5: Solve for x
    x = 121,452,539,024.36/516,576.80
  6. Step 6: Final answer
    x = 235,110.32

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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.