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Finding the Fourth Proportional to 304,532.70, 456,827.85 and 82,916.70

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Solution

The fourth proportional to 304,532.70, 456,827.85 and 82,916.70 is: 124,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,532.70 : 456,827.85 = 82,916.70 : x
  2. Step 2: Convert to fraction form
    304,532.70/456,827.85 = 82,916.70/x
  3. Step 3: Cross multiply
    304,532.70x = 456,827.85 × 82,916.70
  4. Step 4: Simplify right side
    304,532.70x = 37,878,657,790.10
  5. Step 5: Solve for x
    x = 37,878,657,790.10/304,532.70
  6. Step 6: Final answer
    x = 124,382.89

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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.