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Finding the Fourth Proportional to 416,553.18, 624,329.10 and 191,603.76

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Solution

The fourth proportional to 416,553.18, 624,329.10 and 191,603.76 is: 287,175.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,553.18 : 624,329.10 = 191,603.76 : x
  2. Step 2: Convert to fraction form
    416,553.18/624,329.10 = 191,603.76/x
  3. Step 3: Cross multiply
    416,553.18x = 624,329.10 × 191,603.76
  4. Step 4: Simplify right side
    416,553.18x = 119,623,803,037.42
  5. Step 5: Solve for x
    x = 119,623,803,037.42/416,553.18
  6. Step 6: Final answer
    x = 287,175.34

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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.