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Finding the Fourth Proportional to 406,054.43, 560,348.33 and 224,762.47

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Solution

The fourth proportional to 406,054.43, 560,348.33 and 224,762.47 is: 310,168.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,054.43 : 560,348.33 = 224,762.47 : x
  2. Step 2: Convert to fraction form
    406,054.43/560,348.33 = 224,762.47/x
  3. Step 3: Cross multiply
    406,054.43x = 560,348.33 × 224,762.47
  4. Step 4: Simplify right side
    406,054.43x = 125,945,275,026.76
  5. Step 5: Solve for x
    x = 125,945,275,026.76/406,054.43
  6. Step 6: Final answer
    x = 310,168.45

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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.