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Finding the Fourth Proportional to 360,470.52, 497,417.76 and 199,324.80

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Solution

The fourth proportional to 360,470.52, 497,417.76 and 199,324.80 is: 275,050.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,470.52 : 497,417.76 = 199,324.80 : x
  2. Step 2: Convert to fraction form
    360,470.52/497,417.76 = 199,324.80/x
  3. Step 3: Cross multiply
    360,470.52x = 497,417.76 × 199,324.80
  4. Step 4: Simplify right side
    360,470.52x = 99,147,695,528.45
  5. Step 5: Solve for x
    x = 99,147,695,528.45/360,470.52
  6. Step 6: Final answer
    x = 275,050.77

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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.