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Finding the Fourth Proportional to 301,588.23, 451,693.14 and 143,927.40

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Solution

The fourth proportional to 301,588.23, 451,693.14 and 143,927.40 is: 215,562.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,588.23 : 451,693.14 = 143,927.40 : x
  2. Step 2: Convert to fraction form
    301,588.23/451,693.14 = 143,927.40/x
  3. Step 3: Cross multiply
    301,588.23x = 451,693.14 × 143,927.40
  4. Step 4: Simplify right side
    301,588.23x = 65,011,019,238.04
  5. Step 5: Solve for x
    x = 65,011,019,238.04/301,588.23
  6. Step 6: Final answer
    x = 215,562.19

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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.