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Finding the Fourth Proportional to 385,288.84, 577,874.94 and 104,827.96

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Solution

The fourth proportional to 385,288.84, 577,874.94 and 104,827.96 is: 157,226.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,288.84 : 577,874.94 = 104,827.96 : x
  2. Step 2: Convert to fraction form
    385,288.84/577,874.94 = 104,827.96/x
  3. Step 3: Cross multiply
    385,288.84x = 577,874.94 × 104,827.96
  4. Step 4: Simplify right side
    385,288.84x = 60,577,451,095.32
  5. Step 5: Solve for x
    x = 60,577,451,095.32/385,288.84
  6. Step 6: Final answer
    x = 157,226.07

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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.