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Finding the Fourth Proportional to 406,256.02, 560,626.38 and 224,964.05

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Solution

The fourth proportional to 406,256.02, 560,626.38 and 224,964.05 is: 310,446.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,256.02 : 560,626.38 = 224,964.05 : x
  2. Step 2: Convert to fraction form
    406,256.02/560,626.38 = 224,964.05/x
  3. Step 3: Cross multiply
    406,256.02x = 560,626.38 × 224,964.05
  4. Step 4: Simplify right side
    406,256.02x = 126,120,778,178.51
  5. Step 5: Solve for x
    x = 126,120,778,178.51/406,256.02
  6. Step 6: Final answer
    x = 310,446.55

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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.