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Finding the Fourth Proportional to 654,577.85, 981,856.90 and 294,494.40

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Solution

The fourth proportional to 654,577.85, 981,856.90 and 294,494.40 is: 441,737.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,577.85 : 981,856.90 = 294,494.40 : x
  2. Step 2: Convert to fraction form
    654,577.85/981,856.90 = 294,494.40/x
  3. Step 3: Cross multiply
    654,577.85x = 981,856.90 × 294,494.40
  4. Step 4: Simplify right side
    654,577.85x = 289,151,358,651.36
  5. Step 5: Solve for x
    x = 289,151,358,651.36/654,577.85
  6. Step 6: Final answer
    x = 441,737.16

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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.