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Finding the Fourth Proportional to 405,916.90, 608,862.80 and 192,838.20

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Solution

The fourth proportional to 405,916.90, 608,862.80 and 192,838.20 is: 289,251.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,916.90 : 608,862.80 = 192,838.20 : x
  2. Step 2: Convert to fraction form
    405,916.90/608,862.80 = 192,838.20/x
  3. Step 3: Cross multiply
    405,916.90x = 608,862.80 × 192,838.20
  4. Step 4: Simplify right side
    405,916.90x = 117,412,006,398.96
  5. Step 5: Solve for x
    x = 117,412,006,398.96/405,916.90
  6. Step 6: Final answer
    x = 289,251.34

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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.