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Finding the Fourth Proportional to 556,635.84, 834,269.44 and 256,700

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Solution

The fourth proportional to 556,635.84, 834,269.44 and 256,700 is: 384,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,635.84 : 834,269.44 = 256,700 : x
  2. Step 2: Convert to fraction form
    556,635.84/834,269.44 = 256,700/x
  3. Step 3: Cross multiply
    556,635.84x = 834,269.44 × 256,700
  4. Step 4: Simplify right side
    556,635.84x = 214,156,965,248
  5. Step 5: Solve for x
    x = 214,156,965,248/556,635.84
  6. Step 6: Final answer
    x = 384,734.42

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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.