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Finding the Fourth Proportional to 514,061.16, 771,276.21 and 229,727.89

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Solution

The fourth proportional to 514,061.16, 771,276.21 and 229,727.89 is: 344,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,061.16 : 771,276.21 = 229,727.89 : x
  2. Step 2: Convert to fraction form
    514,061.16/771,276.21 = 229,727.89/x
  3. Step 3: Cross multiply
    514,061.16x = 771,276.21 × 229,727.89
  4. Step 4: Simplify right side
    514,061.16x = 177,183,656,330.50
  5. Step 5: Solve for x
    x = 177,183,656,330.50/514,061.16
  6. Step 6: Final answer
    x = 344,674.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.