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Finding the Fourth Proportional to 596,772, 895,158 and 202,788

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Solution

The fourth proportional to 596,772, 895,158 and 202,788 is: 304,182

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,772 : 895,158 = 202,788 : x
  2. Step 2: Convert to fraction form
    596,772/895,158 = 202,788/x
  3. Step 3: Cross multiply
    596,772x = 895,158 × 202,788
  4. Step 4: Simplify right side
    596,772x = 181,527,300,504
  5. Step 5: Solve for x
    x = 181,527,300,504/596,772
  6. Step 6: Final answer
    x = 304,182

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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.