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Finding the Fourth Proportional to 509,153.34, 763,828.37 and 193,585.71

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Solution

The fourth proportional to 509,153.34, 763,828.37 and 193,585.71 is: 290,415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,153.34 : 763,828.37 = 193,585.71 : x
  2. Step 2: Convert to fraction form
    509,153.34/763,828.37 = 193,585.71/x
  3. Step 3: Cross multiply
    509,153.34x = 763,828.37 × 193,585.71
  4. Step 4: Simplify right side
    509,153.34x = 147,866,259,946.97
  5. Step 5: Solve for x
    x = 147,866,259,946.97/509,153.34
  6. Step 6: Final answer
    x = 290,415.97

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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.