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Finding the Fourth Proportional to 473,006.04, 708,892.98 and 192,195

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Solution

The fourth proportional to 473,006.04, 708,892.98 and 192,195 is: 288,042.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,006.04 : 708,892.98 = 192,195 : x
  2. Step 2: Convert to fraction form
    473,006.04/708,892.98 = 192,195/x
  3. Step 3: Cross multiply
    473,006.04x = 708,892.98 × 192,195
  4. Step 4: Simplify right side
    473,006.04x = 136,245,686,291.10
  5. Step 5: Solve for x
    x = 136,245,686,291.10/473,006.04
  6. Step 6: Final answer
    x = 288,042.17

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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.