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Finding the Fourth Proportional to 435,893.80, 653,839.56 and 116,045.68

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Solution

The fourth proportional to 435,893.80, 653,839.56 and 116,045.68 is: 174,068.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,893.80 : 653,839.56 = 116,045.68 : x
  2. Step 2: Convert to fraction form
    435,893.80/653,839.56 = 116,045.68/x
  3. Step 3: Cross multiply
    435,893.80x = 653,839.56 × 116,045.68
  4. Step 4: Simplify right side
    435,893.80x = 75,875,256,351.10
  5. Step 5: Solve for x
    x = 75,875,256,351.10/435,893.80
  6. Step 6: Final answer
    x = 174,068.22

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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.