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Finding the Fourth Proportional to 514,286.22, 771,480.06 and 177,282.48

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Solution

The fourth proportional to 514,286.22, 771,480.06 and 177,282.48 is: 265,941.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,286.22 : 771,480.06 = 177,282.48 : x
  2. Step 2: Convert to fraction form
    514,286.22/771,480.06 = 177,282.48/x
  3. Step 3: Cross multiply
    514,286.22x = 771,480.06 × 177,282.48
  4. Step 4: Simplify right side
    514,286.22x = 136,769,898,307.35
  5. Step 5: Solve for x
    x = 136,769,898,307.35/514,286.22
  6. Step 6: Final answer
    x = 265,941.21

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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.