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Finding the Fourth Proportional to 310,743.88, 466,017 and 100,332.88

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Solution

The fourth proportional to 310,743.88, 466,017 and 100,332.88 is: 150,467.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,743.88 : 466,017 = 100,332.88 : x
  2. Step 2: Convert to fraction form
    310,743.88/466,017 = 100,332.88/x
  3. Step 3: Cross multiply
    310,743.88x = 466,017 × 100,332.88
  4. Step 4: Simplify right side
    310,743.88x = 46,756,827,738.96
  5. Step 5: Solve for x
    x = 46,756,827,738.96/310,743.88
  6. Step 6: Final answer
    x = 150,467.41

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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.