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Finding the Fourth Proportional to 420,416, 580,186.32 and 229,441.60

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Solution

The fourth proportional to 420,416, 580,186.32 and 229,441.60 is: 316,636.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,416 : 580,186.32 = 229,441.60 : x
  2. Step 2: Convert to fraction form
    420,416/580,186.32 = 229,441.60/x
  3. Step 3: Cross multiply
    420,416x = 580,186.32 × 229,441.60
  4. Step 4: Simplify right side
    420,416x = 133,118,877,558.91
  5. Step 5: Solve for x
    x = 133,118,877,558.91/420,416
  6. Step 6: Final answer
    x = 316,636.09

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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.