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Finding the Fourth Proportional to 411,179.76, 567,432 and 241,416.72

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Solution

The fourth proportional to 411,179.76, 567,432 and 241,416.72 is: 333,157.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,179.76 : 567,432 = 241,416.72 : x
  2. Step 2: Convert to fraction form
    411,179.76/567,432 = 241,416.72/x
  3. Step 3: Cross multiply
    411,179.76x = 567,432 × 241,416.72
  4. Step 4: Simplify right side
    411,179.76x = 136,987,572,263.04
  5. Step 5: Solve for x
    x = 136,987,572,263.04/411,179.76
  6. Step 6: Final answer
    x = 333,157.38

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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.