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Finding the Fourth Proportional to 470,266.10, 704,362.35 and 408,058.10

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Solution

The fourth proportional to 470,266.10, 704,362.35 and 408,058.10 is: 611,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,266.10 : 704,362.35 = 408,058.10 : x
  2. Step 2: Convert to fraction form
    470,266.10/704,362.35 = 408,058.10/x
  3. Step 3: Cross multiply
    470,266.10x = 704,362.35 × 408,058.10
  4. Step 4: Simplify right side
    470,266.10x = 287,420,762,252.54
  5. Step 5: Solve for x
    x = 287,420,762,252.54/470,266.10
  6. Step 6: Final answer
    x = 611,187.50

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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.