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Finding the Fourth Proportional to 406,006, 560,289.38 and 224,730.42

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Solution

The fourth proportional to 406,006, 560,289.38 and 224,730.42 is: 310,128.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,006 : 560,289.38 = 224,730.42 : x
  2. Step 2: Convert to fraction form
    406,006/560,289.38 = 224,730.42/x
  3. Step 3: Cross multiply
    406,006x = 560,289.38 × 224,730.42
  4. Step 4: Simplify right side
    406,006x = 125,914,067,688.94
  5. Step 5: Solve for x
    x = 125,914,067,688.94/406,006
  6. Step 6: Final answer
    x = 310,128.59

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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.