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Finding the Fourth Proportional to 314,857.68, 434,503.86 and 171,614.84

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Solution

The fourth proportional to 314,857.68, 434,503.86 and 171,614.84 is: 236,828.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,857.68 : 434,503.86 = 171,614.84 : x
  2. Step 2: Convert to fraction form
    314,857.68/434,503.86 = 171,614.84/x
  3. Step 3: Cross multiply
    314,857.68x = 434,503.86 × 171,614.84
  4. Step 4: Simplify right side
    314,857.68x = 74,567,310,413.28
  5. Step 5: Solve for x
    x = 74,567,310,413.28/314,857.68
  6. Step 6: Final answer
    x = 236,828.62

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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.