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Finding the Fourth Proportional to 514,107.36, 771,012.96 and 177,134.40

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Solution

The fourth proportional to 514,107.36, 771,012.96 and 177,134.40 is: 265,650.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,107.36 : 771,012.96 = 177,134.40 : x
  2. Step 2: Convert to fraction form
    514,107.36/771,012.96 = 177,134.40/x
  3. Step 3: Cross multiply
    514,107.36x = 771,012.96 × 177,134.40
  4. Step 4: Simplify right side
    514,107.36x = 136,572,918,061.82
  5. Step 5: Solve for x
    x = 136,572,918,061.82/514,107.36
  6. Step 6: Final answer
    x = 265,650.58

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1.5x scale

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.