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Finding the Fourth Proportional to 310,632.30, 465,948.42 and 100,301.22

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Solution

The fourth proportional to 310,632.30, 465,948.42 and 100,301.22 is: 150,451.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,632.30 : 465,948.42 = 100,301.22 : x
  2. Step 2: Convert to fraction form
    310,632.30/465,948.42 = 100,301.22/x
  3. Step 3: Cross multiply
    310,632.30x = 465,948.42 × 100,301.22
  4. Step 4: Simplify right side
    310,632.30x = 46,735,194,983.07
  5. Step 5: Solve for x
    x = 46,735,194,983.07/310,632.30
  6. Step 6: Final answer
    x = 150,451.82

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1.5x scale

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.