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Finding the Fourth Proportional to 477,012.24, 715,507.14 and 117,182.54

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Solution

The fourth proportional to 477,012.24, 715,507.14 and 117,182.54 is: 175,771.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,012.24 : 715,507.14 = 117,182.54 : x
  2. Step 2: Convert to fraction form
    477,012.24/715,507.14 = 117,182.54/x
  3. Step 3: Cross multiply
    477,012.24x = 715,507.14 × 117,182.54
  4. Step 4: Simplify right side
    477,012.24x = 83,844,940,475.80
  5. Step 5: Solve for x
    x = 83,844,940,475.80/477,012.24
  6. Step 6: Final answer
    x = 175,771.05

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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.