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Finding the Fourth Proportional to 610,522.95, 842,573.43 and 338,678.42

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Solution

The fourth proportional to 610,522.95, 842,573.43 and 338,678.42 is: 467,404.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,522.95 : 842,573.43 = 338,678.42 : x
  2. Step 2: Convert to fraction form
    610,522.95/842,573.43 = 338,678.42/x
  3. Step 3: Cross multiply
    610,522.95x = 842,573.43 × 338,678.42
  4. Step 4: Simplify right side
    610,522.95x = 285,361,438,006.38
  5. Step 5: Solve for x
    x = 285,361,438,006.38/610,522.95
  6. Step 6: Final answer
    x = 467,404.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.