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Finding the Fourth Proportional to 654,948.65, 903,829.01 and 364,553.96

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Solution

The fourth proportional to 654,948.65, 903,829.01 and 364,553.96 is: 503,084.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,948.65 : 903,829.01 = 364,553.96 : x
  2. Step 2: Convert to fraction form
    654,948.65/903,829.01 = 364,553.96/x
  3. Step 3: Cross multiply
    654,948.65x = 903,829.01 × 364,553.96
  4. Step 4: Simplify right side
    654,948.65x = 329,494,438,416.47
  5. Step 5: Solve for x
    x = 329,494,438,416.47/654,948.65
  6. Step 6: Final answer
    x = 503,084.38

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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.