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Finding the Fourth Proportional to 542,058.02, 813,216.22 and 187,075.13

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Solution

The fourth proportional to 542,058.02, 813,216.22 and 187,075.13 is: 280,657.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,058.02 : 813,216.22 = 187,075.13 : x
  2. Step 2: Convert to fraction form
    542,058.02/813,216.22 = 187,075.13/x
  3. Step 3: Cross multiply
    542,058.02x = 813,216.22 × 187,075.13
  4. Step 4: Simplify right side
    542,058.02x = 152,132,525,540.84
  5. Step 5: Solve for x
    x = 152,132,525,540.84/542,058.02
  6. Step 6: Final answer
    x = 280,657.28

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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.