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Finding the Fourth Proportional to 548,854.40, 823,345.60 and 174,915.20

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Solution

The fourth proportional to 548,854.40, 823,345.60 and 174,915.20 is: 262,393.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,854.40 : 823,345.60 = 174,915.20 : x
  2. Step 2: Convert to fraction form
    548,854.40/823,345.60 = 174,915.20/x
  3. Step 3: Cross multiply
    548,854.40x = 823,345.60 × 174,915.20
  4. Step 4: Simplify right side
    548,854.40x = 144,015,660,293.12
  5. Step 5: Solve for x
    x = 144,015,660,293.12/548,854.40
  6. Step 6: Final answer
    x = 262,393.20

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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.