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Finding the Fourth Proportional to 376,433.40, 564,650.10 and 189,809.40

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Solution

The fourth proportional to 376,433.40, 564,650.10 and 189,809.40 is: 284,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,433.40 : 564,650.10 = 189,809.40 : x
  2. Step 2: Convert to fraction form
    376,433.40/564,650.10 = 189,809.40/x
  3. Step 3: Cross multiply
    376,433.40x = 564,650.10 × 189,809.40
  4. Step 4: Simplify right side
    376,433.40x = 107,175,896,690.94
  5. Step 5: Solve for x
    x = 107,175,896,690.94/376,433.40
  6. Step 6: Final answer
    x = 284,714.10

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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.