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Finding the Fourth Proportional to 543,211.94, 749,667.51 and 301,494.53

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Solution

The fourth proportional to 543,211.94, 749,667.51 and 301,494.53 is: 416,081.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,211.94 : 749,667.51 = 301,494.53 : x
  2. Step 2: Convert to fraction form
    543,211.94/749,667.51 = 301,494.53/x
  3. Step 3: Cross multiply
    543,211.94x = 749,667.51 × 301,494.53
  4. Step 4: Simplify right side
    543,211.94x = 226,020,653,583.72
  5. Step 5: Solve for x
    x = 226,020,653,583.72/543,211.94
  6. Step 6: Final answer
    x = 416,081.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.