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Finding the Fourth Proportional to 314,701.60, 434,293.18 and 171,461.58

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Solution

The fourth proportional to 314,701.60, 434,293.18 and 171,461.58 is: 236,619.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,701.60 : 434,293.18 = 171,461.58 : x
  2. Step 2: Convert to fraction form
    314,701.60/434,293.18 = 171,461.58/x
  3. Step 3: Cross multiply
    314,701.60x = 434,293.18 × 171,461.58
  4. Step 4: Simplify right side
    314,701.60x = 74,464,594,826.02
  5. Step 5: Solve for x
    x = 74,464,594,826.02/314,701.60
  6. Step 6: Final answer
    x = 236,619.69

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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.