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Finding the Fourth Proportional to 314,866.89, 434,509.83 and 171,625.68

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Solution

The fourth proportional to 314,866.89, 434,509.83 and 171,625.68 is: 236,839.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,866.89 : 434,509.83 = 171,625.68 : x
  2. Step 2: Convert to fraction form
    314,866.89/434,509.83 = 171,625.68/x
  3. Step 3: Cross multiply
    314,866.89x = 434,509.83 × 171,625.68
  4. Step 4: Simplify right side
    314,866.89x = 74,573,045,040.43
  5. Step 5: Solve for x
    x = 74,573,045,040.43/314,866.89
  6. Step 6: Final answer
    x = 236,839.91

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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.