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Finding the Fourth Proportional to 567,496, 851,156.52 and 188,581.24

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Solution

The fourth proportional to 567,496, 851,156.52 and 188,581.24 is: 282,842.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,496 : 851,156.52 = 188,581.24 : x
  2. Step 2: Convert to fraction form
    567,496/851,156.52 = 188,581.24/x
  3. Step 3: Cross multiply
    567,496x = 851,156.52 × 188,581.24
  4. Step 4: Simplify right side
    567,496x = 160,512,151,975.69
  5. Step 5: Solve for x
    x = 160,512,151,975.69/567,496
  6. Step 6: Final answer
    x = 282,842.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.