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Finding the Fourth Proportional to 504,099.52, 754,372.34 and 314,648.82

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Solution

The fourth proportional to 504,099.52, 754,372.34 and 314,648.82 is: 470,864.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,099.52 : 754,372.34 = 314,648.82 : x
  2. Step 2: Convert to fraction form
    504,099.52/754,372.34 = 314,648.82/x
  3. Step 3: Cross multiply
    504,099.52x = 754,372.34 × 314,648.82
  4. Step 4: Simplify right side
    504,099.52x = 237,362,366,228.33
  5. Step 5: Solve for x
    x = 237,362,366,228.33/504,099.52
  6. Step 6: Final answer
    x = 470,864.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.