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Finding the Fourth Proportional to 303,564.70, 455,347.05 and 214,918.30

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Solution

The fourth proportional to 303,564.70, 455,347.05 and 214,918.30 is: 322,377.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,564.70 : 455,347.05 = 214,918.30 : x
  2. Step 2: Convert to fraction form
    303,564.70/455,347.05 = 214,918.30/x
  3. Step 3: Cross multiply
    303,564.70x = 455,347.05 × 214,918.30
  4. Step 4: Simplify right side
    303,564.70x = 97,862,413,896.02
  5. Step 5: Solve for x
    x = 97,862,413,896.02/303,564.70
  6. Step 6: Final answer
    x = 322,377.45

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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.