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Finding the Fourth Proportional to 469,027.12, 703,472.64 and 153,496.48

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Solution

The fourth proportional to 469,027.12, 703,472.64 and 153,496.48 is: 230,222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,027.12 : 703,472.64 = 153,496.48 : x
  2. Step 2: Convert to fraction form
    469,027.12/703,472.64 = 153,496.48/x
  3. Step 3: Cross multiply
    469,027.12x = 703,472.64 × 153,496.48
  4. Step 4: Simplify right side
    469,027.12x = 107,980,574,016.31
  5. Step 5: Solve for x
    x = 107,980,574,016.31/469,027.12
  6. Step 6: Final answer
    x = 230,222.45

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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.