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Finding the Fourth Proportional to 514,288.22, 771,483.06 and 177,284.48

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Solution

The fourth proportional to 514,288.22, 771,483.06 and 177,284.48 is: 265,944.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,288.22 : 771,483.06 = 177,284.48 : x
  2. Step 2: Convert to fraction form
    514,288.22/771,483.06 = 177,284.48/x
  3. Step 3: Cross multiply
    514,288.22x = 771,483.06 × 177,284.48
  4. Step 4: Simplify right side
    514,288.22x = 136,771,973,120.91
  5. Step 5: Solve for x
    x = 136,771,973,120.91/514,288.22
  6. Step 6: Final answer
    x = 265,944.21

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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.