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Finding the Fourth Proportional to 325,444.95, 488,073.16 and 97,731.38

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Solution

The fourth proportional to 325,444.95, 488,073.16 and 97,731.38 is: 146,568.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,444.95 : 488,073.16 = 97,731.38 : x
  2. Step 2: Convert to fraction form
    325,444.95/488,073.16 = 97,731.38/x
  3. Step 3: Cross multiply
    325,444.95x = 488,073.16 × 97,731.38
  4. Step 4: Simplify right side
    325,444.95x = 47,700,063,467.76
  5. Step 5: Solve for x
    x = 47,700,063,467.76/325,444.95
  6. Step 6: Final answer
    x = 146,568.76

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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.