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Finding the Fourth Proportional to 376,085.78, 563,598.21 and 207,681.92

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Solution

The fourth proportional to 376,085.78, 563,598.21 and 207,681.92 is: 311,229.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,085.78 : 563,598.21 = 207,681.92 : x
  2. Step 2: Convert to fraction form
    376,085.78/563,598.21 = 207,681.92/x
  3. Step 3: Cross multiply
    376,085.78x = 563,598.21 × 207,681.92
  4. Step 4: Simplify right side
    376,085.78x = 117,049,156,322.18
  5. Step 5: Solve for x
    x = 117,049,156,322.18/376,085.78
  6. Step 6: Final answer
    x = 311,229.95

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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.