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Finding the Fourth Proportional to 354,514.40, 532,117.20 and 177,221.60

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Solution

The fourth proportional to 354,514.40, 532,117.20 and 177,221.60 is: 266,005.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,514.40 : 532,117.20 = 177,221.60 : x
  2. Step 2: Convert to fraction form
    354,514.40/532,117.20 = 177,221.60/x
  3. Step 3: Cross multiply
    354,514.40x = 532,117.20 × 177,221.60
  4. Step 4: Simplify right side
    354,514.40x = 94,302,661,571.52
  5. Step 5: Solve for x
    x = 94,302,661,571.52/354,514.40
  6. Step 6: Final answer
    x = 266,005.17

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1.5x scale

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.