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Finding the Fourth Proportional to 464,010.40, 694,460.40 and 408,023.20

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Solution

The fourth proportional to 464,010.40, 694,460.40 and 408,023.20 is: 610,667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,010.40 : 694,460.40 = 408,023.20 : x
  2. Step 2: Convert to fraction form
    464,010.40/694,460.40 = 408,023.20/x
  3. Step 3: Cross multiply
    464,010.40x = 694,460.40 × 408,023.20
  4. Step 4: Simplify right side
    464,010.40x = 283,355,954,681.28
  5. Step 5: Solve for x
    x = 283,355,954,681.28/464,010.40
  6. Step 6: Final answer
    x = 610,667.25

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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.