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Finding the Fourth Proportional to 420,353.20, 580,095.84 and 229,374.64

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Solution

The fourth proportional to 420,353.20, 580,095.84 and 229,374.64 is: 316,541.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,353.20 : 580,095.84 = 229,374.64 : x
  2. Step 2: Convert to fraction form
    420,353.20/580,095.84 = 229,374.64/x
  3. Step 3: Cross multiply
    420,353.20x = 580,095.84 × 229,374.64
  4. Step 4: Simplify right side
    420,353.20x = 133,059,274,465.50
  5. Step 5: Solve for x
    x = 133,059,274,465.50/420,353.20
  6. Step 6: Final answer
    x = 316,541.60

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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.