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Finding the Fourth Proportional to 652,101.64, 978,155.94 and 296,867.32

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Solution

The fourth proportional to 652,101.64, 978,155.94 and 296,867.32 is: 445,302.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,101.64 : 978,155.94 = 296,867.32 : x
  2. Step 2: Convert to fraction form
    652,101.64/978,155.94 = 296,867.32/x
  3. Step 3: Cross multiply
    652,101.64x = 978,155.94 × 296,867.32
  4. Step 4: Simplify right side
    652,101.64x = 290,382,532,449.88
  5. Step 5: Solve for x
    x = 290,382,532,449.88/652,101.64
  6. Step 6: Final answer
    x = 445,302.56

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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.