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Finding the Fourth Proportional to 320,199.66, 441,876.24 and 175,007.77

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Solution

The fourth proportional to 320,199.66, 441,876.24 and 175,007.77 is: 241,511.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,199.66 : 441,876.24 = 175,007.77 : x
  2. Step 2: Convert to fraction form
    320,199.66/441,876.24 = 175,007.77/x
  3. Step 3: Cross multiply
    320,199.66x = 441,876.24 × 175,007.77
  4. Step 4: Simplify right side
    320,199.66x = 77,331,772,293.96
  5. Step 5: Solve for x
    x = 77,331,772,293.96/320,199.66
  6. Step 6: Final answer
    x = 241,511.10

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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.