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Finding the Fourth Proportional to 652,901.90, 978,959.19 and 298,214.24

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Solution

The fourth proportional to 652,901.90, 978,959.19 and 298,214.24 is: 447,141.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,901.90 : 978,959.19 = 298,214.24 : x
  2. Step 2: Convert to fraction form
    652,901.90/978,959.19 = 298,214.24/x
  3. Step 3: Cross multiply
    652,901.90x = 978,959.19 × 298,214.24
  4. Step 4: Simplify right side
    652,901.90x = 291,939,570,836.87
  5. Step 5: Solve for x
    x = 291,939,570,836.87/652,901.90
  6. Step 6: Final answer
    x = 447,141.56

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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.