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Finding the Fourth Proportional to 523,696.96, 722,706.88 and 297,347.52

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Solution

The fourth proportional to 523,696.96, 722,706.88 and 297,347.52 is: 410,342.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,696.96 : 722,706.88 = 297,347.52 : x
  2. Step 2: Convert to fraction form
    523,696.96/722,706.88 = 297,347.52/x
  3. Step 3: Cross multiply
    523,696.96x = 722,706.88 × 297,347.52
  4. Step 4: Simplify right side
    523,696.96x = 214,895,098,454.94
  5. Step 5: Solve for x
    x = 214,895,098,454.94/523,696.96
  6. Step 6: Final answer
    x = 410,342.46

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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.