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Finding the Fourth Proportional to 313,710.12, 470,566.74 and 77,052.84

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Solution

The fourth proportional to 313,710.12, 470,566.74 and 77,052.84 is: 115,579.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,710.12 : 470,566.74 = 77,052.84 : x
  2. Step 2: Convert to fraction form
    313,710.12/470,566.74 = 77,052.84/x
  3. Step 3: Cross multiply
    313,710.12x = 470,566.74 × 77,052.84
  4. Step 4: Simplify right side
    313,710.12x = 36,258,503,726.54
  5. Step 5: Solve for x
    x = 36,258,503,726.54/313,710.12
  6. Step 6: Final answer
    x = 115,579.64

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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.