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Finding the Fourth Proportional to 354,580.74, 489,301.38 and 201,597.66

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Solution

The fourth proportional to 354,580.74, 489,301.38 and 201,597.66 is: 278,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,580.74 : 489,301.38 = 201,597.66 : x
  2. Step 2: Convert to fraction form
    354,580.74/489,301.38 = 201,597.66/x
  3. Step 3: Cross multiply
    354,580.74x = 489,301.38 × 201,597.66
  4. Step 4: Simplify right side
    354,580.74x = 98,642,013,242.77
  5. Step 5: Solve for x
    x = 98,642,013,242.77/354,580.74
  6. Step 6: Final answer
    x = 278,193.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.