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Finding the Fourth Proportional to 469,335.06, 697,964.58 and 454,388.22

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Solution

The fourth proportional to 469,335.06, 697,964.58 and 454,388.22 is: 675,736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,335.06 : 697,964.58 = 454,388.22 : x
  2. Step 2: Convert to fraction form
    469,335.06/697,964.58 = 454,388.22/x
  3. Step 3: Cross multiply
    469,335.06x = 697,964.58 × 454,388.22
  4. Step 4: Simplify right side
    469,335.06x = 317,146,883,129.25
  5. Step 5: Solve for x
    x = 317,146,883,129.25/469,335.06
  6. Step 6: Final answer
    x = 675,736.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.