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Finding the Fourth Proportional to 314,444.24, 434,079.30 and 185,342

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Solution

The fourth proportional to 314,444.24, 434,079.30 and 185,342 is: 255,858.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,444.24 : 434,079.30 = 185,342 : x
  2. Step 2: Convert to fraction form
    314,444.24/434,079.30 = 185,342/x
  3. Step 3: Cross multiply
    314,444.24x = 434,079.30 × 185,342
  4. Step 4: Simplify right side
    314,444.24x = 80,453,125,620.60
  5. Step 5: Solve for x
    x = 80,453,125,620.60/314,444.24
  6. Step 6: Final answer
    x = 255,858.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.