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Finding the Fourth Proportional to 722,665.67, 997,252.18 and 416,754.95

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Solution

The fourth proportional to 722,665.67, 997,252.18 and 416,754.95 is: 575,106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,665.67 : 997,252.18 = 416,754.95 : x
  2. Step 2: Convert to fraction form
    722,665.67/997,252.18 = 416,754.95/x
  3. Step 3: Cross multiply
    722,665.67x = 997,252.18 × 416,754.95
  4. Step 4: Simplify right side
    722,665.67x = 415,609,780,362.04
  5. Step 5: Solve for x
    x = 415,609,780,362.04/722,665.67
  6. Step 6: Final answer
    x = 575,106.58

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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.