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Finding the Fourth Proportional to 514,083.36, 770,933.52 and 177,030.24

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Solution

The fourth proportional to 514,083.36, 770,933.52 and 177,030.24 is: 265,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,083.36 : 770,933.52 = 177,030.24 : x
  2. Step 2: Convert to fraction form
    514,083.36/770,933.52 = 177,030.24/x
  3. Step 3: Cross multiply
    514,083.36x = 770,933.52 × 177,030.24
  4. Step 4: Simplify right side
    514,083.36x = 136,478,546,069.65
  5. Step 5: Solve for x
    x = 136,478,546,069.65/514,083.36
  6. Step 6: Final answer
    x = 265,479.41

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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.