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Finding the Fourth Proportional to 322,033.69, 482,303.08 and 310,823.95

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Solution

The fourth proportional to 322,033.69, 482,303.08 and 310,823.95 is: 465,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,033.69 : 482,303.08 = 310,823.95 : x
  2. Step 2: Convert to fraction form
    322,033.69/482,303.08 = 310,823.95/x
  3. Step 3: Cross multiply
    322,033.69x = 482,303.08 × 310,823.95
  4. Step 4: Simplify right side
    322,033.69x = 149,911,348,422.77
  5. Step 5: Solve for x
    x = 149,911,348,422.77/322,033.69
  6. Step 6: Final answer
    x = 465,514.49

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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.