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Finding the Fourth Proportional to 314,700.60, 434,291.80 and 171,460.58

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Solution

The fourth proportional to 314,700.60, 434,291.80 and 171,460.58 is: 236,618.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,700.60 : 434,291.80 = 171,460.58 : x
  2. Step 2: Convert to fraction form
    314,700.60/434,291.80 = 171,460.58/x
  3. Step 3: Cross multiply
    314,700.60x = 434,291.80 × 171,460.58
  4. Step 4: Simplify right side
    314,700.60x = 74,463,923,917.24
  5. Step 5: Solve for x
    x = 74,463,923,917.24/314,700.60
  6. Step 6: Final answer
    x = 236,618.31

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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.