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Finding the Fourth Proportional to 652,627.35, 978,967.49 and 310,895.03

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Solution

The fourth proportional to 652,627.35, 978,967.49 and 310,895.03 is: 466,355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,627.35 : 978,967.49 = 310,895.03 : x
  2. Step 2: Convert to fraction form
    652,627.35/978,967.49 = 310,895.03/x
  3. Step 3: Cross multiply
    652,627.35x = 978,967.49 × 310,895.03
  4. Step 4: Simplify right side
    652,627.35x = 304,356,120,723.26
  5. Step 5: Solve for x
    x = 304,356,120,723.26/652,627.35
  6. Step 6: Final answer
    x = 466,355.14

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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.