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Finding the Fourth Proportional to 408,176.59, 563,290.45 and 224,422.93

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Solution

The fourth proportional to 408,176.59, 563,290.45 and 224,422.93 is: 309,707.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,176.59 : 563,290.45 = 224,422.93 : x
  2. Step 2: Convert to fraction form
    408,176.59/563,290.45 = 224,422.93/x
  3. Step 3: Cross multiply
    408,176.59x = 563,290.45 × 224,422.93
  4. Step 4: Simplify right side
    408,176.59x = 126,415,293,051.20
  5. Step 5: Solve for x
    x = 126,415,293,051.20/408,176.59
  6. Step 6: Final answer
    x = 309,707.36

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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.