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Finding the Fourth Proportional to 602,211.96, 903,403.86 and 197,317.56

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Solution

The fourth proportional to 602,211.96, 903,403.86 and 197,317.56 is: 296,004.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,211.96 : 903,403.86 = 197,317.56 : x
  2. Step 2: Convert to fraction form
    602,211.96/903,403.86 = 197,317.56/x
  3. Step 3: Cross multiply
    602,211.96x = 903,403.86 × 197,317.56
  4. Step 4: Simplify right side
    602,211.96x = 178,257,445,349.78
  5. Step 5: Solve for x
    x = 178,257,445,349.78/602,211.96
  6. Step 6: Final answer
    x = 296,004.49

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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.