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Finding the Fourth Proportional to 354,212.79, 488,729.66 and 201,254.01

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Solution

The fourth proportional to 354,212.79, 488,729.66 and 201,254.01 is: 277,682.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,212.79 : 488,729.66 = 201,254.01 : x
  2. Step 2: Convert to fraction form
    354,212.79/488,729.66 = 201,254.01/x
  3. Step 3: Cross multiply
    354,212.79x = 488,729.66 × 201,254.01
  4. Step 4: Simplify right side
    354,212.79x = 98,358,803,880.94
  5. Step 5: Solve for x
    x = 98,358,803,880.94/354,212.79
  6. Step 6: Final answer
    x = 277,682.81

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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.