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Finding the Fourth Proportional to 314,651.07, 434,217.88 and 171,411.07

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Solution

The fourth proportional to 314,651.07, 434,217.88 and 171,411.07 is: 236,546.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,651.07 : 434,217.88 = 171,411.07 : x
  2. Step 2: Convert to fraction form
    314,651.07/434,217.88 = 171,411.07/x
  3. Step 3: Cross multiply
    314,651.07x = 434,217.88 × 171,411.07
  4. Step 4: Simplify right side
    314,651.07x = 74,429,751,423.93
  5. Step 5: Solve for x
    x = 74,429,751,423.93/314,651.07
  6. Step 6: Final answer
    x = 236,546.95

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1.5x scale

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.