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Finding the Fourth Proportional to 399,384.84, 596,020.52 and 356,786.58

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Solution

The fourth proportional to 399,384.84, 596,020.52 and 356,786.58 is: 532,449.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,384.84 : 596,020.52 = 356,786.58 : x
  2. Step 2: Convert to fraction form
    399,384.84/596,020.52 = 356,786.58/x
  3. Step 3: Cross multiply
    399,384.84x = 596,020.52 × 356,786.58
  4. Step 4: Simplify right side
    399,384.84x = 212,652,122,940.62
  5. Step 5: Solve for x
    x = 212,652,122,940.62/399,384.84
  6. Step 6: Final answer
    x = 532,449.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.