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Finding the Fourth Proportional to 477,197.19, 715,620.42 and 140,151.33

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Solution

The fourth proportional to 477,197.19, 715,620.42 and 140,151.33 is: 210,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,197.19 : 715,620.42 = 140,151.33 : x
  2. Step 2: Convert to fraction form
    477,197.19/715,620.42 = 140,151.33/x
  3. Step 3: Cross multiply
    477,197.19x = 715,620.42 × 140,151.33
  4. Step 4: Simplify right side
    477,197.19x = 100,295,153,638.16
  5. Step 5: Solve for x
    x = 100,295,153,638.16/477,197.19
  6. Step 6: Final answer
    x = 210,175.49

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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.