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Finding the Fourth Proportional to 514,300.88, 771,502.07 and 177,297.14

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Solution

The fourth proportional to 514,300.88, 771,502.07 and 177,297.14 is: 265,963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,300.88 : 771,502.07 = 177,297.14 : x
  2. Step 2: Convert to fraction form
    514,300.88/771,502.07 = 177,297.14/x
  3. Step 3: Cross multiply
    514,300.88x = 771,502.07 × 177,297.14
  4. Step 4: Simplify right side
    514,300.88x = 136,785,110,515.08
  5. Step 5: Solve for x
    x = 136,785,110,515.08/514,300.88
  6. Step 6: Final answer
    x = 265,963.21

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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.