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Finding the Fourth Proportional to 469,709.64, 704,642.70 and 154,081.80

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Solution

The fourth proportional to 469,709.64, 704,642.70 and 154,081.80 is: 231,148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,709.64 : 704,642.70 = 154,081.80 : x
  2. Step 2: Convert to fraction form
    469,709.64/704,642.70 = 154,081.80/x
  3. Step 3: Cross multiply
    469,709.64x = 704,642.70 × 154,081.80
  4. Step 4: Simplify right side
    469,709.64x = 108,572,615,572.86
  5. Step 5: Solve for x
    x = 108,572,615,572.86/469,709.64
  6. Step 6: Final answer
    x = 231,148.37

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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.