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Finding the Fourth Proportional to 314,714.93, 434,301.14 and 171,476.15

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Solution

The fourth proportional to 314,714.93, 434,301.14 and 171,476.15 is: 236,634.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,714.93 : 434,301.14 = 171,476.15 : x
  2. Step 2: Convert to fraction form
    314,714.93/434,301.14 = 171,476.15/x
  3. Step 3: Cross multiply
    314,714.93x = 434,301.14 × 171,476.15
  4. Step 4: Simplify right side
    314,714.93x = 74,472,286,570.43
  5. Step 5: Solve for x
    x = 74,472,286,570.43/314,714.93
  6. Step 6: Final answer
    x = 236,634.11

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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.