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Finding the Fourth Proportional to 325,443.95, 488,071.66 and 97,730.38

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Solution

The fourth proportional to 325,443.95, 488,071.66 and 97,730.38 is: 146,567.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,443.95 : 488,071.66 = 97,730.38 : x
  2. Step 2: Convert to fraction form
    325,443.95/488,071.66 = 97,730.38/x
  3. Step 3: Cross multiply
    325,443.95x = 488,071.66 × 97,730.38
  4. Step 4: Simplify right side
    325,443.95x = 47,699,428,799.03
  5. Step 5: Solve for x
    x = 47,699,428,799.03/325,443.95
  6. Step 6: Final answer
    x = 146,567.26

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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.