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Finding the Fourth Proportional to 542,035.83, 812,738.54 and 205,102.50

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Solution

The fourth proportional to 542,035.83, 812,738.54 and 205,102.50 is: 307,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,035.83 : 812,738.54 = 205,102.50 : x
  2. Step 2: Convert to fraction form
    542,035.83/812,738.54 = 205,102.50/x
  3. Step 3: Cross multiply
    542,035.83x = 812,738.54 × 205,102.50
  4. Step 4: Simplify right side
    542,035.83x = 166,694,703,865.34
  5. Step 5: Solve for x
    x = 166,694,703,865.34/542,035.83
  6. Step 6: Final answer
    x = 307,534.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.