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Finding the Fourth Proportional to 411,360.64, 616,336.80 and 224,503.36

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Solution

The fourth proportional to 411,360.64, 616,336.80 and 224,503.36 is: 336,370.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,360.64 : 616,336.80 = 224,503.36 : x
  2. Step 2: Convert to fraction form
    411,360.64/616,336.80 = 224,503.36/x
  3. Step 3: Cross multiply
    411,360.64x = 616,336.80 × 224,503.36
  4. Step 4: Simplify right side
    411,360.64x = 138,369,682,491.65
  5. Step 5: Solve for x
    x = 138,369,682,491.65/411,360.64
  6. Step 6: Final answer
    x = 336,370.74

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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.