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Finding the Fourth Proportional to 293,736.60, 440,621.64 and 83,358

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Solution

The fourth proportional to 293,736.60, 440,621.64 and 83,358 is: 125,041.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,736.60 : 440,621.64 = 83,358 : x
  2. Step 2: Convert to fraction form
    293,736.60/440,621.64 = 83,358/x
  3. Step 3: Cross multiply
    293,736.60x = 440,621.64 × 83,358
  4. Step 4: Simplify right side
    293,736.60x = 36,729,338,667.12
  5. Step 5: Solve for x
    x = 36,729,338,667.12/293,736.60
  6. Step 6: Final answer
    x = 125,041.75

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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.