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Finding the Fourth Proportional to 460,772.34, 691,054.80 and 165,284.34

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Solution

The fourth proportional to 460,772.34, 691,054.80 and 165,284.34 is: 247,889.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,772.34 : 691,054.80 = 165,284.34 : x
  2. Step 2: Convert to fraction form
    460,772.34/691,054.80 = 165,284.34/x
  3. Step 3: Cross multiply
    460,772.34x = 691,054.80 × 165,284.34
  4. Step 4: Simplify right side
    460,772.34x = 114,220,536,521.83
  5. Step 5: Solve for x
    x = 114,220,536,521.83/460,772.34
  6. Step 6: Final answer
    x = 247,889.31

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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.