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Finding the Fourth Proportional to 447,097.48, 616,981.98 and 245,893.48

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Solution

The fourth proportional to 447,097.48, 616,981.98 and 245,893.48 is: 339,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,097.48 : 616,981.98 = 245,893.48 : x
  2. Step 2: Convert to fraction form
    447,097.48/616,981.98 = 245,893.48/x
  3. Step 3: Cross multiply
    447,097.48x = 616,981.98 × 245,893.48
  4. Step 4: Simplify right side
    447,097.48x = 151,711,846,159.49
  5. Step 5: Solve for x
    x = 151,711,846,159.49/447,097.48
  6. Step 6: Final answer
    x = 339,326.10

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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.