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Finding the Fourth Proportional to 445,223.25, 667,827.74 and 141,613.00

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Solution

The fourth proportional to 445,223.25, 667,827.74 and 141,613.00 is: 212,417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,223.25 : 667,827.74 = 141,613.00 : x
  2. Step 2: Convert to fraction form
    445,223.25/667,827.74 = 141,613.00/x
  3. Step 3: Cross multiply
    445,223.25x = 667,827.74 × 141,613.00
  4. Step 4: Simplify right side
    445,223.25x = 94,573,088,429.08
  5. Step 5: Solve for x
    x = 94,573,088,429.08/445,223.25
  6. Step 6: Final answer
    x = 212,417.23

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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.