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Finding the Fourth Proportional to 354,772.93, 532,212.05 and 114,806.40

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Solution

The fourth proportional to 354,772.93, 532,212.05 and 114,806.40 is: 172,226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,772.93 : 532,212.05 = 114,806.40 : x
  2. Step 2: Convert to fraction form
    354,772.93/532,212.05 = 114,806.40/x
  3. Step 3: Cross multiply
    354,772.93x = 532,212.05 × 114,806.40
  4. Step 4: Simplify right side
    354,772.93x = 61,101,349,497.12
  5. Step 5: Solve for x
    x = 61,101,349,497.12/354,772.93
  6. Step 6: Final answer
    x = 172,226.64

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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.