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Finding the Fourth Proportional to 295,500.78, 407,810.92 and 164,698.78

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Solution

The fourth proportional to 295,500.78, 407,810.92 and 164,698.78 is: 227,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,500.78 : 407,810.92 = 164,698.78 : x
  2. Step 2: Convert to fraction form
    295,500.78/407,810.92 = 164,698.78/x
  3. Step 3: Cross multiply
    295,500.78x = 407,810.92 × 164,698.78
  4. Step 4: Simplify right side
    295,500.78x = 67,165,961,805.86
  5. Step 5: Solve for x
    x = 67,165,961,805.86/295,500.78
  6. Step 6: Final answer
    x = 227,295.38

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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.