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Finding the Fourth Proportional to 652,965.35, 978,068.17 and 412,955.77

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Solution

The fourth proportional to 652,965.35, 978,068.17 and 412,955.77 is: 618,560.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,965.35 : 978,068.17 = 412,955.77 : x
  2. Step 2: Convert to fraction form
    652,965.35/978,068.17 = 412,955.77/x
  3. Step 3: Cross multiply
    652,965.35x = 978,068.17 × 412,955.77
  4. Step 4: Simplify right side
    652,965.35x = 403,898,891,836.87
  5. Step 5: Solve for x
    x = 403,898,891,836.87/652,965.35
  6. Step 6: Final answer
    x = 618,560.99

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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.