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Finding the Fourth Proportional to 468,086.49, 645,957.93 and 253,226.51

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Solution

The fourth proportional to 468,086.49, 645,957.93 and 253,226.51 is: 349,451.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,086.49 : 645,957.93 = 253,226.51 : x
  2. Step 2: Convert to fraction form
    468,086.49/645,957.93 = 253,226.51/x
  3. Step 3: Cross multiply
    468,086.49x = 645,957.93 × 253,226.51
  4. Step 4: Simplify right side
    468,086.49x = 163,573,668,990.94
  5. Step 5: Solve for x
    x = 163,573,668,990.94/468,086.49
  6. Step 6: Final answer
    x = 349,451.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.