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Finding the Fourth Proportional to 314,689.94, 434,272.16 and 171,449.98

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Solution

The fourth proportional to 314,689.94, 434,272.16 and 171,449.98 is: 236,601.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,689.94 : 434,272.16 = 171,449.98 : x
  2. Step 2: Convert to fraction form
    314,689.94/434,272.16 = 171,449.98/x
  3. Step 3: Cross multiply
    314,689.94x = 434,272.16 × 171,449.98
  4. Step 4: Simplify right side
    314,689.94x = 74,455,953,146.56
  5. Step 5: Solve for x
    x = 74,455,953,146.56/314,689.94
  6. Step 6: Final answer
    x = 236,601.00

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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.