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Finding the Fourth Proportional to 455,629.78, 683,188.71 and 189,211.06

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Solution

The fourth proportional to 455,629.78, 683,188.71 and 189,211.06 is: 283,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,629.78 : 683,188.71 = 189,211.06 : x
  2. Step 2: Convert to fraction form
    455,629.78/683,188.71 = 189,211.06/x
  3. Step 3: Cross multiply
    455,629.78x = 683,188.71 × 189,211.06
  4. Step 4: Simplify right side
    455,629.78x = 129,266,859,999.13
  5. Step 5: Solve for x
    x = 129,266,859,999.13/455,629.78
  6. Step 6: Final answer
    x = 283,710.30

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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.