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Finding the Fourth Proportional to 542,768.16, 748,989.50 and 301,033.38

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Solution

The fourth proportional to 542,768.16, 748,989.50 and 301,033.38 is: 415,409.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,768.16 : 748,989.50 = 301,033.38 : x
  2. Step 2: Convert to fraction form
    542,768.16/748,989.50 = 301,033.38/x
  3. Step 3: Cross multiply
    542,768.16x = 748,989.50 × 301,033.38
  4. Step 4: Simplify right side
    542,768.16x = 225,470,840,769.51
  5. Step 5: Solve for x
    x = 225,470,840,769.51/542,768.16
  6. Step 6: Final answer
    x = 415,409.11

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Why These Related Problems?

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