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Finding the Fourth Proportional to 294,502.64, 441,753.90 and 84,140.57

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Solution

The fourth proportional to 294,502.64, 441,753.90 and 84,140.57 is: 126,210.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,502.64 : 441,753.90 = 84,140.57 : x
  2. Step 2: Convert to fraction form
    294,502.64/441,753.90 = 84,140.57/x
  3. Step 3: Cross multiply
    294,502.64x = 441,753.90 × 84,140.57
  4. Step 4: Simplify right side
    294,502.64x = 37,169,426,207.87
  5. Step 5: Solve for x
    x = 37,169,426,207.87/294,502.64
  6. Step 6: Final answer
    x = 126,210.84

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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.