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Finding the Fourth Proportional to 542,058.14, 813,216.41 and 187,075.25

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Solution

The fourth proportional to 542,058.14, 813,216.41 and 187,075.25 is: 280,657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,058.14 : 813,216.41 = 187,075.25 : x
  2. Step 2: Convert to fraction form
    542,058.14/813,216.41 = 187,075.25/x
  3. Step 3: Cross multiply
    542,058.14x = 813,216.41 × 187,075.25
  4. Step 4: Simplify right side
    542,058.14x = 152,132,662,269.48
  5. Step 5: Solve for x
    x = 152,132,662,269.48/542,058.14
  6. Step 6: Final answer
    x = 280,657.46

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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.