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Finding the Fourth Proportional to 455,954.40, 684,177.84 and 189,898.56

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Solution

The fourth proportional to 455,954.40, 684,177.84 and 189,898.56 is: 284,950.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,954.40 : 684,177.84 = 189,898.56 : x
  2. Step 2: Convert to fraction form
    455,954.40/684,177.84 = 189,898.56/x
  3. Step 3: Cross multiply
    455,954.40x = 684,177.84 × 189,898.56
  4. Step 4: Simplify right side
    455,954.40x = 129,924,386,599.91
  5. Step 5: Solve for x
    x = 129,924,386,599.91/455,954.40
  6. Step 6: Final answer
    x = 284,950.40

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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.