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Finding the Fourth Proportional to 509,111.84, 763,761.46 and 167,574.44

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Solution

The fourth proportional to 509,111.84, 763,761.46 and 167,574.44 is: 251,392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,111.84 : 763,761.46 = 167,574.44 : x
  2. Step 2: Convert to fraction form
    509,111.84/763,761.46 = 167,574.44/x
  3. Step 3: Cross multiply
    509,111.84x = 763,761.46 × 167,574.44
  4. Step 4: Simplify right side
    509,111.84x = 127,986,898,953.08
  5. Step 5: Solve for x
    x = 127,986,898,953.08/509,111.84
  6. Step 6: Final answer
    x = 251,392.50

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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.