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Finding the Fourth Proportional to 652,441.40, 978,662.10 and 584,012.60

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Solution

The fourth proportional to 652,441.40, 978,662.10 and 584,012.60 is: 876,018.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,441.40 : 978,662.10 = 584,012.60 : x
  2. Step 2: Convert to fraction form
    652,441.40/978,662.10 = 584,012.60/x
  3. Step 3: Cross multiply
    652,441.40x = 978,662.10 × 584,012.60
  4. Step 4: Simplify right side
    652,441.40x = 571,550,997,542.46
  5. Step 5: Solve for x
    x = 571,550,997,542.46/652,441.40
  6. Step 6: Final answer
    x = 876,018.90

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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.