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Finding the Fourth Proportional to 652,082.58, 978,127.38 and 296,848.08

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Solution

The fourth proportional to 652,082.58, 978,127.38 and 296,848.08 is: 445,273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,082.58 : 978,127.38 = 296,848.08 : x
  2. Step 2: Convert to fraction form
    652,082.58/978,127.38 = 296,848.08/x
  3. Step 3: Cross multiply
    652,082.58x = 978,127.38 × 296,848.08
  4. Step 4: Simplify right side
    652,082.58x = 290,355,234,748.43
  5. Step 5: Solve for x
    x = 290,355,234,748.43/652,082.58
  6. Step 6: Final answer
    x = 445,273.72

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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.