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Finding the Fourth Proportional to 516,576.30, 774,973.80 and 156,717.60

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Solution

The fourth proportional to 516,576.30, 774,973.80 and 156,717.60 is: 235,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,576.30 : 774,973.80 = 156,717.60 : x
  2. Step 2: Convert to fraction form
    516,576.30/774,973.80 = 156,717.60/x
  3. Step 3: Cross multiply
    516,576.30x = 774,973.80 × 156,717.60
  4. Step 4: Simplify right side
    516,576.30x = 121,452,033,998.88
  5. Step 5: Solve for x
    x = 121,452,033,998.88/516,576.30
  6. Step 6: Final answer
    x = 235,109.57

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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.