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Finding the Fourth Proportional to 420,391.94, 580,153.11 and 229,417.61

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Solution

The fourth proportional to 420,391.94, 580,153.11 and 229,417.61 is: 316,602.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,391.94 : 580,153.11 = 229,417.61 : x
  2. Step 2: Convert to fraction form
    420,391.94/580,153.11 = 229,417.61/x
  3. Step 3: Cross multiply
    420,391.94x = 580,153.11 × 229,417.61
  4. Step 4: Simplify right side
    420,391.94x = 133,097,339,930.27
  5. Step 5: Solve for x
    x = 133,097,339,930.27/420,391.94
  6. Step 6: Final answer
    x = 316,602.98

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1.5x scale

Why These Related Problems?

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