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Finding the Fourth Proportional to 420,315.66, 580,037.52 and 229,333.08

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Solution

The fourth proportional to 420,315.66, 580,037.52 and 229,333.08 is: 316,480.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,315.66 : 580,037.52 = 229,333.08 : x
  2. Step 2: Convert to fraction form
    420,315.66/580,037.52 = 229,333.08/x
  3. Step 3: Cross multiply
    420,315.66x = 580,037.52 × 229,333.08
  4. Step 4: Simplify right side
    420,315.66x = 133,021,790,977.16
  5. Step 5: Solve for x
    x = 133,021,790,977.16/420,315.66
  6. Step 6: Final answer
    x = 316,480.69

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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.