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Finding the Fourth Proportional to 472,282.36, 708,274.50 and 187,849.24

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Solution

The fourth proportional to 472,282.36, 708,274.50 and 187,849.24 is: 281,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,282.36 : 708,274.50 = 187,849.24 : x
  2. Step 2: Convert to fraction form
    472,282.36/708,274.50 = 187,849.24/x
  3. Step 3: Cross multiply
    472,282.36x = 708,274.50 × 187,849.24
  4. Step 4: Simplify right side
    472,282.36x = 133,048,826,536.38
  5. Step 5: Solve for x
    x = 133,048,826,536.38/472,282.36
  6. Step 6: Final answer
    x = 281,714.58

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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.