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Finding the Fourth Proportional to 406,177.64, 560,542.66 and 224,889.58

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Solution

The fourth proportional to 406,177.64, 560,542.66 and 224,889.58 is: 310,357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,177.64 : 560,542.66 = 224,889.58 : x
  2. Step 2: Convert to fraction form
    406,177.64/560,542.66 = 224,889.58/x
  3. Step 3: Cross multiply
    406,177.64x = 560,542.66 × 224,889.58
  4. Step 4: Simplify right side
    406,177.64x = 126,060,200,576.77
  5. Step 5: Solve for x
    x = 126,060,200,576.77/406,177.64
  6. Step 6: Final answer
    x = 310,357.31

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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.