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Finding the Fourth Proportional to 369,104, 509,217.72 and 233,087.18

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Solution

The fourth proportional to 369,104, 509,217.72 and 233,087.18 is: 321,568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,104 : 509,217.72 = 233,087.18 : x
  2. Step 2: Convert to fraction form
    369,104/509,217.72 = 233,087.18/x
  3. Step 3: Cross multiply
    369,104x = 509,217.72 × 233,087.18
  4. Step 4: Simplify right side
    369,104x = 118,692,122,360.83
  5. Step 5: Solve for x
    x = 118,692,122,360.83/369,104
  6. Step 6: Final answer
    x = 321,568.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.