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Finding the Fourth Proportional to 298,415.84, 411,770.08 and 169,334.24

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Solution

The fourth proportional to 298,415.84, 411,770.08 and 169,334.24 is: 233,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,415.84 : 411,770.08 = 169,334.24 : x
  2. Step 2: Convert to fraction form
    298,415.84/411,770.08 = 169,334.24/x
  3. Step 3: Cross multiply
    298,415.84x = 411,770.08 × 169,334.24
  4. Step 4: Simplify right side
    298,415.84x = 69,726,773,551.54
  5. Step 5: Solve for x
    x = 69,726,773,551.54/298,415.84
  6. Step 6: Final answer
    x = 233,656.41

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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.