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Finding the Fourth Proportional to 392,950.50, 542,271.69 and 214,102.50

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Solution

The fourth proportional to 392,950.50, 542,271.69 and 214,102.50 is: 295,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,950.50 : 542,271.69 = 214,102.50 : x
  2. Step 2: Convert to fraction form
    392,950.50/542,271.69 = 214,102.50/x
  3. Step 3: Cross multiply
    392,950.50x = 542,271.69 × 214,102.50
  4. Step 4: Simplify right side
    392,950.50x = 116,101,724,508.23
  5. Step 5: Solve for x
    x = 116,101,724,508.23/392,950.50
  6. Step 6: Final answer
    x = 295,461.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.