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Finding the Fourth Proportional to 317,726.37, 476,698.92 and 199,259.01

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Solution

The fourth proportional to 317,726.37, 476,698.92 and 199,259.01 is: 298,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,726.37 : 476,698.92 = 199,259.01 : x
  2. Step 2: Convert to fraction form
    317,726.37/476,698.92 = 199,259.01/x
  3. Step 3: Cross multiply
    317,726.37x = 476,698.92 × 199,259.01
  4. Step 4: Simplify right side
    317,726.37x = 94,986,554,867.27
  5. Step 5: Solve for x
    x = 94,986,554,867.27/317,726.37
  6. Step 6: Final answer
    x = 298,957.10

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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.