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Finding the Fourth Proportional to 576,345.87, 864,518.85 and 197,271.54

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Solution

The fourth proportional to 576,345.87, 864,518.85 and 197,271.54 is: 295,907.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,345.87 : 864,518.85 = 197,271.54 : x
  2. Step 2: Convert to fraction form
    576,345.87/864,518.85 = 197,271.54/x
  3. Step 3: Cross multiply
    576,345.87x = 864,518.85 × 197,271.54
  4. Step 4: Simplify right side
    576,345.87x = 170,544,964,898.53
  5. Step 5: Solve for x
    x = 170,544,964,898.53/576,345.87
  6. Step 6: Final answer
    x = 295,907.33

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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.