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Finding the Fourth Proportional to 314,655.30, 434,224.80 and 171,411.66

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Solution

The fourth proportional to 314,655.30, 434,224.80 and 171,411.66 is: 236,548.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,655.30 : 434,224.80 = 171,411.66 : x
  2. Step 2: Convert to fraction form
    314,655.30/434,224.80 = 171,411.66/x
  3. Step 3: Cross multiply
    314,655.30x = 434,224.80 × 171,411.66
  4. Step 4: Simplify right side
    314,655.30x = 74,431,193,781.17
  5. Step 5: Solve for x
    x = 74,431,193,781.17/314,655.30
  6. Step 6: Final answer
    x = 236,548.36

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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.