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Finding the Fourth Proportional to 576,442.76, 864,085.47 and 197,104.07

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Solution

The fourth proportional to 576,442.76, 864,085.47 and 197,104.07 is: 295,458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,442.76 : 864,085.47 = 197,104.07 : x
  2. Step 2: Convert to fraction form
    576,442.76/864,085.47 = 197,104.07/x
  3. Step 3: Cross multiply
    576,442.76x = 864,085.47 × 197,104.07
  4. Step 4: Simplify right side
    576,442.76x = 170,314,758,644.44
  5. Step 5: Solve for x
    x = 170,314,758,644.44/576,442.76
  6. Step 6: Final answer
    x = 295,458.23

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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.