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Finding the Fourth Proportional to 514,940.51, 772,221.15 and 177,894.65

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Solution

The fourth proportional to 514,940.51, 772,221.15 and 177,894.65 is: 266,776.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,940.51 : 772,221.15 = 177,894.65 : x
  2. Step 2: Convert to fraction form
    514,940.51/772,221.15 = 177,894.65/x
  3. Step 3: Cross multiply
    514,940.51x = 772,221.15 × 177,894.65
  4. Step 4: Simplify right side
    514,940.51x = 137,374,007,340.74
  5. Step 5: Solve for x
    x = 137,374,007,340.74/514,940.51
  6. Step 6: Final answer
    x = 266,776.46

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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.