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Finding the Fourth Proportional to 467,058.70, 698,028.97 and 340,964.47

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Solution

The fourth proportional to 467,058.70, 698,028.97 and 340,964.47 is: 509,578.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,058.70 : 698,028.97 = 340,964.47 : x
  2. Step 2: Convert to fraction form
    467,058.70/698,028.97 = 340,964.47/x
  3. Step 3: Cross multiply
    467,058.70x = 698,028.97 × 340,964.47
  4. Step 4: Simplify right side
    467,058.70x = 238,003,075,203.21
  5. Step 5: Solve for x
    x = 238,003,075,203.21/467,058.70
  6. Step 6: Final answer
    x = 509,578.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.