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Finding the Fourth Proportional to 503,804.45, 755,948.61 and 314,216.15

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Solution

The fourth proportional to 503,804.45, 755,948.61 and 314,216.15 is: 471,475.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,804.45 : 755,948.61 = 314,216.15 : x
  2. Step 2: Convert to fraction form
    503,804.45/755,948.61 = 314,216.15/x
  3. Step 3: Cross multiply
    503,804.45x = 755,948.61 × 314,216.15
  4. Step 4: Simplify right side
    503,804.45x = 237,531,256,481.23
  5. Step 5: Solve for x
    x = 237,531,256,481.23/503,804.45
  6. Step 6: Final answer
    x = 471,475.11

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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.