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Finding the Fourth Proportional to 477,147.41, 658,471.61 and 262,296.53

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Solution

The fourth proportional to 477,147.41, 658,471.61 and 262,296.53 is: 361,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,147.41 : 658,471.61 = 262,296.53 : x
  2. Step 2: Convert to fraction form
    477,147.41/658,471.61 = 262,296.53/x
  3. Step 3: Cross multiply
    477,147.41x = 658,471.61 × 262,296.53
  4. Step 4: Simplify right side
    477,147.41x = 172,714,818,406.51
  5. Step 5: Solve for x
    x = 172,714,818,406.51/477,147.41
  6. Step 6: Final answer
    x = 361,973.71

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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.