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Finding the Fourth Proportional to 406,077.48, 560,380.14 and 224,785.58

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Solution

The fourth proportional to 406,077.48, 560,380.14 and 224,785.58 is: 310,200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,077.48 : 560,380.14 = 224,785.58 : x
  2. Step 2: Convert to fraction form
    406,077.48/560,380.14 = 224,785.58/x
  3. Step 3: Cross multiply
    406,077.48x = 560,380.14 × 224,785.58
  4. Step 4: Simplify right side
    406,077.48x = 125,965,374,790.38
  5. Step 5: Solve for x
    x = 125,965,374,790.38/406,077.48
  6. Step 6: Final answer
    x = 310,200.35

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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.