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Finding the Fourth Proportional to 301,332.96, 415,811.07 and 180,472.05

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Solution

The fourth proportional to 301,332.96, 415,811.07 and 180,472.05 is: 249,034.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,332.96 : 415,811.07 = 180,472.05 : x
  2. Step 2: Convert to fraction form
    301,332.96/415,811.07 = 180,472.05/x
  3. Step 3: Cross multiply
    301,332.96x = 415,811.07 × 180,472.05
  4. Step 4: Simplify right side
    301,332.96x = 75,042,276,215.59
  5. Step 5: Solve for x
    x = 75,042,276,215.59/301,332.96
  6. Step 6: Final answer
    x = 249,034.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.