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Finding the Fourth Proportional to 406,055.43, 560,349.71 and 224,763.47

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Solution

The fourth proportional to 406,055.43, 560,349.71 and 224,763.47 is: 310,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,055.43 : 560,349.71 = 224,763.47 : x
  2. Step 2: Convert to fraction form
    406,055.43/560,349.71 = 224,763.47/x
  3. Step 3: Cross multiply
    406,055.43x = 560,349.71 × 224,763.47
  4. Step 4: Simplify right side
    406,055.43x = 125,946,145,233.09
  5. Step 5: Solve for x
    x = 125,946,145,233.09/406,055.43
  6. Step 6: Final answer
    x = 310,169.83

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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.