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Finding the Fourth Proportional to 293,373, 440,059.50 and 106,384.68

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Solution

The fourth proportional to 293,373, 440,059.50 and 106,384.68 is: 159,577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,373 : 440,059.50 = 106,384.68 : x
  2. Step 2: Convert to fraction form
    293,373/440,059.50 = 106,384.68/x
  3. Step 3: Cross multiply
    293,373x = 440,059.50 × 106,384.68
  4. Step 4: Simplify right side
    293,373x = 46,815,589,088.46
  5. Step 5: Solve for x
    x = 46,815,589,088.46/293,373
  6. Step 6: Final answer
    x = 159,577.02

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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.