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Finding the Fourth Proportional to 589,758.34, 813,398.40 and 382,800.48

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Solution

The fourth proportional to 589,758.34, 813,398.40 and 382,800.48 is: 527,960.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,758.34 : 813,398.40 = 382,800.48 : x
  2. Step 2: Convert to fraction form
    589,758.34/813,398.40 = 382,800.48/x
  3. Step 3: Cross multiply
    589,758.34x = 813,398.40 × 382,800.48
  4. Step 4: Simplify right side
    589,758.34x = 311,369,297,951.23
  5. Step 5: Solve for x
    x = 311,369,297,951.23/589,758.34
  6. Step 6: Final answer
    x = 527,960.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.