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Finding the Fourth Proportional to 301,332.24, 415,808.22 and 180,470.44

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Solution

The fourth proportional to 301,332.24, 415,808.22 and 180,470.44 is: 249,031.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,332.24 : 415,808.22 = 180,470.44 : x
  2. Step 2: Convert to fraction form
    301,332.24/415,808.22 = 180,470.44/x
  3. Step 3: Cross multiply
    301,332.24x = 415,808.22 × 180,470.44
  4. Step 4: Simplify right side
    301,332.24x = 75,041,092,419.02
  5. Step 5: Solve for x
    x = 75,041,092,419.02/301,332.24
  6. Step 6: Final answer
    x = 249,031.08

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1.5x scale

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.