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Finding the Fourth Proportional to 406,025.36, 560,237.16 and 224,728.73

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Solution

The fourth proportional to 406,025.36, 560,237.16 and 224,728.73 is: 310,082.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,025.36 : 560,237.16 = 224,728.73 : x
  2. Step 2: Convert to fraction form
    406,025.36/560,237.16 = 224,728.73/x
  3. Step 3: Cross multiply
    406,025.36x = 560,237.16 × 224,728.73
  4. Step 4: Simplify right side
    406,025.36x = 125,901,385,465.61
  5. Step 5: Solve for x
    x = 125,901,385,465.61/406,025.36
  6. Step 6: Final answer
    x = 310,082.57

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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.