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Finding the Fourth Proportional to 477,540.76, 716,064.63 and 140,537.65

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Solution

The fourth proportional to 477,540.76, 716,064.63 and 140,537.65 is: 210,733.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,540.76 : 716,064.63 = 140,537.65 : x
  2. Step 2: Convert to fraction form
    477,540.76/716,064.63 = 140,537.65/x
  3. Step 3: Cross multiply
    477,540.76x = 716,064.63 × 140,537.65
  4. Step 4: Simplify right side
    477,540.76x = 100,634,040,348.32
  5. Step 5: Solve for x
    x = 100,634,040,348.32/477,540.76
  6. Step 6: Final answer
    x = 210,733.93

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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.