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Finding the Fourth Proportional to 464,101.87, 640,499.75 and 260,149.54

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Solution

The fourth proportional to 464,101.87, 640,499.75 and 260,149.54 is: 359,028.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,101.87 : 640,499.75 = 260,149.54 : x
  2. Step 2: Convert to fraction form
    464,101.87/640,499.75 = 260,149.54/x
  3. Step 3: Cross multiply
    464,101.87x = 640,499.75 × 260,149.54
  4. Step 4: Simplify right side
    464,101.87x = 166,625,714,381.74
  5. Step 5: Solve for x
    x = 166,625,714,381.74/464,101.87
  6. Step 6: Final answer
    x = 359,028.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.