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Finding the Fourth Proportional to 282,641.58, 424,005.39 and 175,939.20

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Solution

The fourth proportional to 282,641.58, 424,005.39 and 175,939.20 is: 263,935.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,641.58 : 424,005.39 = 175,939.20 : x
  2. Step 2: Convert to fraction form
    282,641.58/424,005.39 = 175,939.20/x
  3. Step 3: Cross multiply
    282,641.58x = 424,005.39 × 175,939.20
  4. Step 4: Simplify right side
    282,641.58x = 74,599,169,112.29
  5. Step 5: Solve for x
    x = 74,599,169,112.29/282,641.58
  6. Step 6: Final answer
    x = 263,935.58

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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.