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Finding the Fourth Proportional to 652,064.67, 978,100.38 and 296,830.26

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Solution

The fourth proportional to 652,064.67, 978,100.38 and 296,830.26 is: 445,246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,064.67 : 978,100.38 = 296,830.26 : x
  2. Step 2: Convert to fraction form
    652,064.67/978,100.38 = 296,830.26/x
  3. Step 3: Cross multiply
    652,064.67x = 978,100.38 × 296,830.26
  4. Step 4: Simplify right side
    652,064.67x = 290,329,790,101.50
  5. Step 5: Solve for x
    x = 290,329,790,101.50/652,064.67
  6. Step 6: Final answer
    x = 445,246.93

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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.