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Finding the Fourth Proportional to 406,866.90, 561,446.87 and 223,076.05

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Solution

The fourth proportional to 406,866.90, 561,446.87 and 223,076.05 is: 307,828.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,866.90 : 561,446.87 = 223,076.05 : x
  2. Step 2: Convert to fraction form
    406,866.90/561,446.87 = 223,076.05/x
  3. Step 3: Cross multiply
    406,866.90x = 561,446.87 × 223,076.05
  4. Step 4: Simplify right side
    406,866.90x = 125,245,350,044.46
  5. Step 5: Solve for x
    x = 125,245,350,044.46/406,866.90
  6. Step 6: Final answer
    x = 307,828.80

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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.