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Finding the Fourth Proportional to 668,714, 1,003,233.06 and 384,586.40

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Solution

The fourth proportional to 668,714, 1,003,233.06 and 384,586.40 is: 576,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,714 : 1,003,233.06 = 384,586.40 : x
  2. Step 2: Convert to fraction form
    668,714/1,003,233.06 = 384,586.40/x
  3. Step 3: Cross multiply
    668,714x = 1,003,233.06 × 384,586.40
  4. Step 4: Simplify right side
    668,714x = 385,829,790,906.38
  5. Step 5: Solve for x
    x = 385,829,790,906.38/668,714
  6. Step 6: Final answer
    x = 576,972.80

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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.