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Finding the Fourth Proportional to 652,223.10, 978,334.65 and 652,223.10

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Solution

The fourth proportional to 652,223.10, 978,334.65 and 652,223.10 is: 978,334.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,223.10 : 978,334.65 = 652,223.10 : x
  2. Step 2: Convert to fraction form
    652,223.10/978,334.65 = 652,223.10/x
  3. Step 3: Cross multiply
    652,223.10x = 978,334.65 × 652,223.10
  4. Step 4: Simplify right side
    652,223.10x = 638,092,458,260.42
  5. Step 5: Solve for x
    x = 638,092,458,260.42/652,223.10
  6. Step 6: Final answer
    x = 978,334.65

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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.