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Finding the Fourth Proportional to 514,055.63, 771,267.96 and 229,722.41

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Solution

The fourth proportional to 514,055.63, 771,267.96 and 229,722.41 is: 344,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,055.63 : 771,267.96 = 229,722.41 : x
  2. Step 2: Convert to fraction form
    514,055.63/771,267.96 = 229,722.41/x
  3. Step 3: Cross multiply
    514,055.63x = 771,267.96 × 229,722.41
  4. Step 4: Simplify right side
    514,055.63x = 177,177,536,455.15
  5. Step 5: Solve for x
    x = 177,177,536,455.15/514,055.63
  6. Step 6: Final answer
    x = 344,666.07

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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.