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Finding the Fourth Proportional to 455,553.14, 683,100.32 and 151,839.72

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Solution

The fourth proportional to 455,553.14, 683,100.32 and 151,839.72 is: 227,683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,553.14 : 683,100.32 = 151,839.72 : x
  2. Step 2: Convert to fraction form
    455,553.14/683,100.32 = 151,839.72/x
  3. Step 3: Cross multiply
    455,553.14x = 683,100.32 × 151,839.72
  4. Step 4: Simplify right side
    455,553.14x = 103,721,760,561.51
  5. Step 5: Solve for x
    x = 103,721,760,561.51/455,553.14
  6. Step 6: Final answer
    x = 227,683.12

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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.