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Finding the Fourth Proportional to 470,266.60, 704,363.10 and 408,058.60

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Solution

The fourth proportional to 470,266.60, 704,363.10 and 408,058.60 is: 611,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,266.60 : 704,363.10 = 408,058.60 : x
  2. Step 2: Convert to fraction form
    470,266.60/704,363.10 = 408,058.60/x
  3. Step 3: Cross multiply
    470,266.60x = 704,363.10 × 408,058.60
  4. Step 4: Simplify right side
    470,266.60x = 287,421,420,477.66
  5. Step 5: Solve for x
    x = 287,421,420,477.66/470,266.60
  6. Step 6: Final answer
    x = 611,188.25

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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.