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Finding the Fourth Proportional to 362,105.40, 542,510.10 and 174,703.80

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Solution

The fourth proportional to 362,105.40, 542,510.10 and 174,703.80 is: 261,743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,105.40 : 542,510.10 = 174,703.80 : x
  2. Step 2: Convert to fraction form
    362,105.40/542,510.10 = 174,703.80/x
  3. Step 3: Cross multiply
    362,105.40x = 542,510.10 × 174,703.80
  4. Step 4: Simplify right side
    362,105.40x = 94,778,576,008.38
  5. Step 5: Solve for x
    x = 94,778,576,008.38/362,105.40
  6. Step 6: Final answer
    x = 261,743.06

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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.