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Finding the Fourth Proportional to 457,143.91, 685,825.35 and 190,756.24

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Solution

The fourth proportional to 457,143.91, 685,825.35 and 190,756.24 is: 286,180.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,143.91 : 685,825.35 = 190,756.24 : x
  2. Step 2: Convert to fraction form
    457,143.91/685,825.35 = 190,756.24/x
  3. Step 3: Cross multiply
    457,143.91x = 685,825.35 × 190,756.24
  4. Step 4: Simplify right side
    457,143.91x = 130,825,465,062.68
  5. Step 5: Solve for x
    x = 130,825,465,062.68/457,143.91
  6. Step 6: Final answer
    x = 286,180.05

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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.