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Finding the Fourth Proportional to 369,614.25, 510,085.49 and 208,465.66

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Solution

The fourth proportional to 369,614.25, 510,085.49 and 208,465.66 is: 287,692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,614.25 : 510,085.49 = 208,465.66 : x
  2. Step 2: Convert to fraction form
    369,614.25/510,085.49 = 208,465.66/x
  3. Step 3: Cross multiply
    369,614.25x = 510,085.49 × 208,465.66
  4. Step 4: Simplify right side
    369,614.25x = 106,335,307,924.55
  5. Step 5: Solve for x
    x = 106,335,307,924.55/369,614.25
  6. Step 6: Final answer
    x = 287,692.66

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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.