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Finding the Fourth Proportional to 411,000.23, 567,162.48 and 224,728.29

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Solution

The fourth proportional to 411,000.23, 567,162.48 and 224,728.29 is: 310,115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,000.23 : 567,162.48 = 224,728.29 : x
  2. Step 2: Convert to fraction form
    411,000.23/567,162.48 = 224,728.29/x
  3. Step 3: Cross multiply
    411,000.23x = 567,162.48 × 224,728.29
  4. Step 4: Simplify right side
    411,000.23x = 127,457,452,100.53
  5. Step 5: Solve for x
    x = 127,457,452,100.53/411,000.23
  6. Step 6: Final answer
    x = 310,115.28

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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.