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Finding the Fourth Proportional to 406,222.47, 560,580.17 and 224,930.49

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Solution

The fourth proportional to 406,222.47, 560,580.17 and 224,930.49 is: 310,400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,222.47 : 560,580.17 = 224,930.49 : x
  2. Step 2: Convert to fraction form
    406,222.47/560,580.17 = 224,930.49/x
  3. Step 3: Cross multiply
    406,222.47x = 560,580.17 × 224,930.49
  4. Step 4: Simplify right side
    406,222.47x = 126,091,574,458.07
  5. Step 5: Solve for x
    x = 126,091,574,458.07/406,222.47
  6. Step 6: Final answer
    x = 310,400.30

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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.