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Finding the Fourth Proportional to 514,057.91, 771,271.34 and 229,724.64

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Solution

The fourth proportional to 514,057.91, 771,271.34 and 229,724.64 is: 344,669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,057.91 : 771,271.34 = 229,724.64 : x
  2. Step 2: Convert to fraction form
    514,057.91/771,271.34 = 229,724.64/x
  3. Step 3: Cross multiply
    514,057.91x = 771,271.34 × 229,724.64
  4. Step 4: Simplify right side
    514,057.91x = 177,180,029,775.19
  5. Step 5: Solve for x
    x = 177,180,029,775.19/514,057.91
  6. Step 6: Final answer
    x = 344,669.40

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Why These Related Problems?

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