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Finding the Fourth Proportional to 384,277.70, 576,415.33 and 103,794.95

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Solution

The fourth proportional to 384,277.70, 576,415.33 and 103,794.95 is: 155,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,277.70 : 576,415.33 = 103,794.95 : x
  2. Step 2: Convert to fraction form
    384,277.70/576,415.33 = 103,794.95/x
  3. Step 3: Cross multiply
    384,277.70x = 576,415.33 × 103,794.95
  4. Step 4: Simplify right side
    384,277.70x = 59,829,000,356.58
  5. Step 5: Solve for x
    x = 59,829,000,356.58/384,277.70
  6. Step 6: Final answer
    x = 155,692.10

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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.