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Finding the Fourth Proportional to 406,004.76, 560,287.66 and 224,729.16

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Solution

The fourth proportional to 406,004.76, 560,287.66 and 224,729.16 is: 310,126.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,004.76 : 560,287.66 = 224,729.16 : x
  2. Step 2: Convert to fraction form
    406,004.76/560,287.66 = 224,729.16/x
  3. Step 3: Cross multiply
    406,004.76x = 560,287.66 × 224,729.16
  4. Step 4: Simplify right side
    406,004.76x = 125,912,975,190.17
  5. Step 5: Solve for x
    x = 125,912,975,190.17/406,004.76
  6. Step 6: Final answer
    x = 310,126.84

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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.