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Finding the Fourth Proportional to 314,830.60, 434,475.71 and 171,599.92

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Solution

The fourth proportional to 314,830.60, 434,475.71 and 171,599.92 is: 236,813.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,830.60 : 434,475.71 = 171,599.92 : x
  2. Step 2: Convert to fraction form
    314,830.60/434,475.71 = 171,599.92/x
  3. Step 3: Cross multiply
    314,830.60x = 434,475.71 × 171,599.92
  4. Step 4: Simplify right side
    314,830.60x = 74,555,997,077.94
  5. Step 5: Solve for x
    x = 74,555,997,077.94/314,830.60
  6. Step 6: Final answer
    x = 236,813.06

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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.