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Finding the Fourth Proportional to 602,171.90, 903,259.38 and 203,093

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Solution

The fourth proportional to 602,171.90, 903,259.38 and 203,093 is: 304,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,171.90 : 903,259.38 = 203,093 : x
  2. Step 2: Convert to fraction form
    602,171.90/903,259.38 = 203,093/x
  3. Step 3: Cross multiply
    602,171.90x = 903,259.38 × 203,093
  4. Step 4: Simplify right side
    602,171.90x = 183,445,657,262.34
  5. Step 5: Solve for x
    x = 183,445,657,262.34/602,171.90
  6. Step 6: Final answer
    x = 304,640.02

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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.