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Finding the Fourth Proportional to 314,809.94, 434,425.07 and 171,566.91

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Solution

The fourth proportional to 314,809.94, 434,425.07 and 171,566.91 is: 236,755.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,809.94 : 434,425.07 = 171,566.91 : x
  2. Step 2: Convert to fraction form
    314,809.94/434,425.07 = 171,566.91/x
  3. Step 3: Cross multiply
    314,809.94x = 434,425.07 × 171,566.91
  4. Step 4: Simplify right side
    314,809.94x = 74,532,967,315.35
  5. Step 5: Solve for x
    x = 74,532,967,315.35/314,809.94
  6. Step 6: Final answer
    x = 236,755.44

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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.