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Finding the Fourth Proportional to 420,005.64, 579,619.72 and 229,029.50

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Solution

The fourth proportional to 420,005.64, 579,619.72 and 229,029.50 is: 316,067.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,005.64 : 579,619.72 = 229,029.50 : x
  2. Step 2: Convert to fraction form
    420,005.64/579,619.72 = 229,029.50/x
  3. Step 3: Cross multiply
    420,005.64x = 579,619.72 × 229,029.50
  4. Step 4: Simplify right side
    420,005.64x = 132,750,014,661.74
  5. Step 5: Solve for x
    x = 132,750,014,661.74/420,005.64
  6. Step 6: Final answer
    x = 316,067.22

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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.