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Finding the Fourth Proportional to 297,712.86, 446,404.95 and 155,202.54

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Solution

The fourth proportional to 297,712.86, 446,404.95 and 155,202.54 is: 232,718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,712.86 : 446,404.95 = 155,202.54 : x
  2. Step 2: Convert to fraction form
    297,712.86/446,404.95 = 155,202.54/x
  3. Step 3: Cross multiply
    297,712.86x = 446,404.95 × 155,202.54
  4. Step 4: Simplify right side
    297,712.86x = 69,283,182,108.57
  5. Step 5: Solve for x
    x = 69,283,182,108.57/297,712.86
  6. Step 6: Final answer
    x = 232,718.14

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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.