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Finding the Fourth Proportional to 398,971.80, 597,971.70 and 173,856.60

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Solution

The fourth proportional to 398,971.80, 597,971.70 and 173,856.60 is: 260,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,971.80 : 597,971.70 = 173,856.60 : x
  2. Step 2: Convert to fraction form
    398,971.80/597,971.70 = 173,856.60/x
  3. Step 3: Cross multiply
    398,971.80x = 597,971.70 × 173,856.60
  4. Step 4: Simplify right side
    398,971.80x = 103,961,326,658.22
  5. Step 5: Solve for x
    x = 103,961,326,658.22/398,971.80
  6. Step 6: Final answer
    x = 260,573.12

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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.