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Finding the Fourth Proportional to 585,676.49, 878,545.51 and 164,985.17

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Solution

The fourth proportional to 585,676.49, 878,545.51 and 164,985.17 is: 247,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,676.49 : 878,545.51 = 164,985.17 : x
  2. Step 2: Convert to fraction form
    585,676.49/878,545.51 = 164,985.17/x
  3. Step 3: Cross multiply
    585,676.49x = 878,545.51 × 164,985.17
  4. Step 4: Simplify right side
    585,676.49x = 144,946,975,514.90
  5. Step 5: Solve for x
    x = 144,946,975,514.90/585,676.49
  6. Step 6: Final answer
    x = 247,486.42

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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.