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Finding the Fourth Proportional to 411,521.74, 567,774 and 268,229.50

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Solution

The fourth proportional to 411,521.74, 567,774 and 268,229.50 is: 370,074.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,521.74 : 567,774 = 268,229.50 : x
  2. Step 2: Convert to fraction form
    411,521.74/567,774 = 268,229.50/x
  3. Step 3: Cross multiply
    411,521.74x = 567,774 × 268,229.50
  4. Step 4: Simplify right side
    411,521.74x = 152,293,736,133
  5. Step 5: Solve for x
    x = 152,293,736,133/411,521.74
  6. Step 6: Final answer
    x = 370,074.58

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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.