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Finding the Fourth Proportional to 516,575.80, 774,973.05 and 156,717.10

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Solution

The fourth proportional to 516,575.80, 774,973.05 and 156,717.10 is: 235,108.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,575.80 : 774,973.05 = 156,717.10 : x
  2. Step 2: Convert to fraction form
    516,575.80/774,973.05 = 156,717.10/x
  3. Step 3: Cross multiply
    516,575.80x = 774,973.05 × 156,717.10
  4. Step 4: Simplify right side
    516,575.80x = 121,451,528,974.16
  5. Step 5: Solve for x
    x = 121,451,528,974.16/516,575.80
  6. Step 6: Final answer
    x = 235,108.82

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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.