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Finding the Fourth Proportional to 468,298, 702,422.25 and 131,362.03

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Solution

The fourth proportional to 468,298, 702,422.25 and 131,362.03 is: 197,036.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,298 : 702,422.25 = 131,362.03 : x
  2. Step 2: Convert to fraction form
    468,298/702,422.25 = 131,362.03/x
  3. Step 3: Cross multiply
    468,298x = 702,422.25 × 131,362.03
  4. Step 4: Simplify right side
    468,298x = 92,271,612,677.17
  5. Step 5: Solve for x
    x = 92,271,612,677.17/468,298
  6. Step 6: Final answer
    x = 197,036.10

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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.