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Finding the Fourth Proportional to 327,646.16, 490,875.96 and 150,301.52

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Solution

The fourth proportional to 327,646.16, 490,875.96 and 150,301.52 is: 225,180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,646.16 : 490,875.96 = 150,301.52 : x
  2. Step 2: Convert to fraction form
    327,646.16/490,875.96 = 150,301.52/x
  3. Step 3: Cross multiply
    327,646.16x = 490,875.96 × 150,301.52
  4. Step 4: Simplify right side
    327,646.16x = 73,779,402,919.46
  5. Step 5: Solve for x
    x = 73,779,402,919.46/327,646.16
  6. Step 6: Final answer
    x = 225,180.12

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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.