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Finding the Fourth Proportional to 293,740.84, 440,610.46 and 83,378.92

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Solution

The fourth proportional to 293,740.84, 440,610.46 and 83,378.92 is: 125,068.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,740.84 : 440,610.46 = 83,378.92 : x
  2. Step 2: Convert to fraction form
    293,740.84/440,610.46 = 83,378.92/x
  3. Step 3: Cross multiply
    293,740.84x = 440,610.46 × 83,378.92
  4. Step 4: Simplify right side
    293,740.84x = 36,737,624,295.50
  5. Step 5: Solve for x
    x = 36,737,624,295.50/293,740.84
  6. Step 6: Final answer
    x = 125,068.15

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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.