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Finding the Fourth Proportional to 464,781.60, 696,135.60 and 381,837.60

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Solution

The fourth proportional to 464,781.60, 696,135.60 and 381,837.60 is: 571,904.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,781.60 : 696,135.60 = 381,837.60 : x
  2. Step 2: Convert to fraction form
    464,781.60/696,135.60 = 381,837.60/x
  3. Step 3: Cross multiply
    464,781.60x = 696,135.60 × 381,837.60
  4. Step 4: Simplify right side
    464,781.60x = 265,810,746,778.56
  5. Step 5: Solve for x
    x = 265,810,746,778.56/464,781.60
  6. Step 6: Final answer
    x = 571,904.63

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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.