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Finding the Fourth Proportional to 314,448.96, 433,947.34 and 171,216.84

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Solution

The fourth proportional to 314,448.96, 433,947.34 and 171,216.84 is: 236,283.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,448.96 : 433,947.34 = 171,216.84 : x
  2. Step 2: Convert to fraction form
    314,448.96/433,947.34 = 171,216.84/x
  3. Step 3: Cross multiply
    314,448.96x = 433,947.34 × 171,216.84
  4. Step 4: Simplify right side
    314,448.96x = 74,299,092,281.21
  5. Step 5: Solve for x
    x = 74,299,092,281.21/314,448.96
  6. Step 6: Final answer
    x = 236,283.47

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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.