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Finding the Fourth Proportional to 309,597.61, 464,396.91 and 84,961.12

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Solution

The fourth proportional to 309,597.61, 464,396.91 and 84,961.12 is: 127,441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,597.61 : 464,396.91 = 84,961.12 : x
  2. Step 2: Convert to fraction form
    309,597.61/464,396.91 = 84,961.12/x
  3. Step 3: Cross multiply
    309,597.61x = 464,396.91 × 84,961.12
  4. Step 4: Simplify right side
    309,597.61x = 39,455,681,598.14
  5. Step 5: Solve for x
    x = 39,455,681,598.14/309,597.61
  6. Step 6: Final answer
    x = 127,441.82

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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.