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Finding the Fourth Proportional to 553,623.02, 763,999.76 and 298,974.20

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Solution

The fourth proportional to 553,623.02, 763,999.76 and 298,974.20 is: 412,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,623.02 : 763,999.76 = 298,974.20 : x
  2. Step 2: Convert to fraction form
    553,623.02/763,999.76 = 298,974.20/x
  3. Step 3: Cross multiply
    553,623.02x = 763,999.76 × 298,974.20
  4. Step 4: Simplify right side
    553,623.02x = 228,416,217,046.19
  5. Step 5: Solve for x
    x = 228,416,217,046.19/553,623.02
  6. Step 6: Final answer
    x = 412,584.39

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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.