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Finding the Fourth Proportional to 467,902.36, 702,038.22 and 243,403.57

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Solution

The fourth proportional to 467,902.36, 702,038.22 and 243,403.57 is: 365,201.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,902.36 : 702,038.22 = 243,403.57 : x
  2. Step 2: Convert to fraction form
    467,902.36/702,038.22 = 243,403.57/x
  3. Step 3: Cross multiply
    467,902.36x = 702,038.22 × 243,403.57
  4. Step 4: Simplify right side
    467,902.36x = 170,878,609,024.45
  5. Step 5: Solve for x
    x = 170,878,609,024.45/467,902.36
  6. Step 6: Final answer
    x = 365,201.43

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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.