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Finding the Fourth Proportional to 516,651.04, 774,979.04 and 156,825

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Solution

The fourth proportional to 516,651.04, 774,979.04 and 156,825 is: 235,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,651.04 : 774,979.04 = 156,825 : x
  2. Step 2: Convert to fraction form
    516,651.04/774,979.04 = 156,825/x
  3. Step 3: Cross multiply
    516,651.04x = 774,979.04 × 156,825
  4. Step 4: Simplify right side
    516,651.04x = 121,536,087,948
  5. Step 5: Solve for x
    x = 121,536,087,948/516,651.04
  6. Step 6: Final answer
    x = 235,238.25

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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.