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Finding the Fourth Proportional to 514,294.58, 770,706.83 and 289,182.57

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Solution

The fourth proportional to 514,294.58, 770,706.83 and 289,182.57 is: 433,360.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,294.58 : 770,706.83 = 289,182.57 : x
  2. Step 2: Convert to fraction form
    514,294.58/770,706.83 = 289,182.57/x
  3. Step 3: Cross multiply
    514,294.58x = 770,706.83 × 289,182.57
  4. Step 4: Simplify right side
    514,294.58x = 222,874,980,122.57
  5. Step 5: Solve for x
    x = 222,874,980,122.57/514,294.58
  6. Step 6: Final answer
    x = 433,360.55

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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.