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Finding the Fourth Proportional to 466,651.74, 643,980.46 and 259,918.48

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Solution

The fourth proportional to 466,651.74, 643,980.46 and 259,918.48 is: 358,688.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,651.74 : 643,980.46 = 259,918.48 : x
  2. Step 2: Convert to fraction form
    466,651.74/643,980.46 = 259,918.48/x
  3. Step 3: Cross multiply
    466,651.74x = 643,980.46 × 259,918.48
  4. Step 4: Simplify right side
    466,651.74x = 167,382,422,312.90
  5. Step 5: Solve for x
    x = 167,382,422,312.90/466,651.74
  6. Step 6: Final answer
    x = 358,688.09

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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.