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Finding the Fourth Proportional to 420,144.30, 579,807.02 and 229,164.52

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Solution

The fourth proportional to 420,144.30, 579,807.02 and 229,164.52 is: 316,251.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,144.30 : 579,807.02 = 229,164.52 : x
  2. Step 2: Convert to fraction form
    420,144.30/579,807.02 = 229,164.52/x
  3. Step 3: Cross multiply
    420,144.30x = 579,807.02 × 229,164.52
  4. Step 4: Simplify right side
    420,144.30x = 132,871,197,430.93
  5. Step 5: Solve for x
    x = 132,871,197,430.93/420,144.30
  6. Step 6: Final answer
    x = 316,251.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.