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Finding the Fourth Proportional to 542,875.48, 814,438.33 and 187,889.51

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Solution

The fourth proportional to 542,875.48, 814,438.33 and 187,889.51 is: 281,877.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,875.48 : 814,438.33 = 187,889.51 : x
  2. Step 2: Convert to fraction form
    542,875.48/814,438.33 = 187,889.51/x
  3. Step 3: Cross multiply
    542,875.48x = 814,438.33 × 187,889.51
  4. Step 4: Simplify right side
    542,875.48x = 153,024,420,315.29
  5. Step 5: Solve for x
    x = 153,024,420,315.29/542,875.48
  6. Step 6: Final answer
    x = 281,877.57

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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.