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Finding the Fourth Proportional to 416,780.58, 624,506.57 and 266,897.58

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Solution

The fourth proportional to 416,780.58, 624,506.57 and 266,897.58 is: 399,920.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,780.58 : 624,506.57 = 266,897.58 : x
  2. Step 2: Convert to fraction form
    416,780.58/624,506.57 = 266,897.58/x
  3. Step 3: Cross multiply
    416,780.58x = 624,506.57 × 266,897.58
  4. Step 4: Simplify right side
    416,780.58x = 166,679,292,227.10
  5. Step 5: Solve for x
    x = 166,679,292,227.10/416,780.58
  6. Step 6: Final answer
    x = 399,920.97

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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.