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Finding the Fourth Proportional to 514,231.55, 771,440.93 and 177,320.51

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Solution

The fourth proportional to 514,231.55, 771,440.93 and 177,320.51 is: 266,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,231.55 : 771,440.93 = 177,320.51 : x
  2. Step 2: Convert to fraction form
    514,231.55/771,440.93 = 177,320.51/x
  3. Step 3: Cross multiply
    514,231.55x = 771,440.93 × 177,320.51
  4. Step 4: Simplify right side
    514,231.55x = 136,792,298,255.87
  5. Step 5: Solve for x
    x = 136,792,298,255.87/514,231.55
  6. Step 6: Final answer
    x = 266,013.04

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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.