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Finding the Fourth Proportional to 514,037.36, 770,908.08 and 177,064.40

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Solution

The fourth proportional to 514,037.36, 770,908.08 and 177,064.40 is: 265,545.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,037.36 : 770,908.08 = 177,064.40 : x
  2. Step 2: Convert to fraction form
    514,037.36/770,908.08 = 177,064.40/x
  3. Step 3: Cross multiply
    514,037.36x = 770,908.08 × 177,064.40
  4. Step 4: Simplify right side
    514,037.36x = 136,500,376,640.35
  5. Step 5: Solve for x
    x = 136,500,376,640.35/514,037.36
  6. Step 6: Final answer
    x = 265,545.63

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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.