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Finding the Fourth Proportional to 284,082.66, 425,718 and 208,610.82

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Solution

The fourth proportional to 284,082.66, 425,718 and 208,610.82 is: 312,618.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,082.66 : 425,718 = 208,610.82 : x
  2. Step 2: Convert to fraction form
    284,082.66/425,718 = 208,610.82/x
  3. Step 3: Cross multiply
    284,082.66x = 425,718 × 208,610.82
  4. Step 4: Simplify right side
    284,082.66x = 88,809,381,068.76
  5. Step 5: Solve for x
    x = 88,809,381,068.76/284,082.66
  6. Step 6: Final answer
    x = 312,618.10

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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.