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Finding the Fourth Proportional to 713,349.94, 1,070,016 and 173,609.32

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Solution

The fourth proportional to 713,349.94, 1,070,016 and 173,609.32 is: 260,411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,349.94 : 1,070,016 = 173,609.32 : x
  2. Step 2: Convert to fraction form
    713,349.94/1,070,016 = 173,609.32/x
  3. Step 3: Cross multiply
    713,349.94x = 1,070,016 × 173,609.32
  4. Step 4: Simplify right side
    713,349.94x = 185,764,750,149.12
  5. Step 5: Solve for x
    x = 185,764,750,149.12/713,349.94
  6. Step 6: Final answer
    x = 260,411.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.