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Finding the Fourth Proportional to 514,036.36, 770,906.58 and 177,063.40

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Solution

The fourth proportional to 514,036.36, 770,906.58 and 177,063.40 is: 265,544.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,036.36 : 770,906.58 = 177,063.40 : x
  2. Step 2: Convert to fraction form
    514,036.36/770,906.58 = 177,063.40/x
  3. Step 3: Cross multiply
    514,036.36x = 770,906.58 × 177,063.40
  4. Step 4: Simplify right side
    514,036.36x = 136,499,340,137.17
  5. Step 5: Solve for x
    x = 136,499,340,137.17/514,036.36
  6. Step 6: Final answer
    x = 265,544.13

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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.