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Finding the Fourth Proportional to 347,017.77, 478,692.18 and 201,807.65

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Solution

The fourth proportional to 347,017.77, 478,692.18 and 201,807.65 is: 278,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,017.77 : 478,692.18 = 201,807.65 : x
  2. Step 2: Convert to fraction form
    347,017.77/478,692.18 = 201,807.65/x
  3. Step 3: Cross multiply
    347,017.77x = 478,692.18 × 201,807.65
  4. Step 4: Simplify right side
    347,017.77x = 96,603,745,115.91
  5. Step 5: Solve for x
    x = 96,603,745,115.91/347,017.77
  6. Step 6: Final answer
    x = 278,382.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.