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Finding the Fourth Proportional to 313,978.24, 470,983.65 and 103,632.58

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Solution

The fourth proportional to 313,978.24, 470,983.65 and 103,632.58 is: 155,454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,978.24 : 470,983.65 = 103,632.58 : x
  2. Step 2: Convert to fraction form
    313,978.24/470,983.65 = 103,632.58/x
  3. Step 3: Cross multiply
    313,978.24x = 470,983.65 × 103,632.58
  4. Step 4: Simplify right side
    313,978.24x = 48,809,250,787.32
  5. Step 5: Solve for x
    x = 48,809,250,787.32/313,978.24
  6. Step 6: Final answer
    x = 155,454.25

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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.