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Finding the Fourth Proportional to 537,124.96, 804,961.68 and 204,519.52

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Solution

The fourth proportional to 537,124.96, 804,961.68 and 204,519.52 is: 306,502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,124.96 : 804,961.68 = 204,519.52 : x
  2. Step 2: Convert to fraction form
    537,124.96/804,961.68 = 204,519.52/x
  3. Step 3: Cross multiply
    537,124.96x = 804,961.68 × 204,519.52
  4. Step 4: Simplify right side
    537,124.96x = 164,630,376,411.99
  5. Step 5: Solve for x
    x = 164,630,376,411.99/537,124.96
  6. Step 6: Final answer
    x = 306,502.93

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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.