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Finding the Fourth Proportional to 460,067.90, 634,878.15 and 258,825.02

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Solution

The fourth proportional to 460,067.90, 634,878.15 and 258,825.02 is: 357,169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,067.90 : 634,878.15 = 258,825.02 : x
  2. Step 2: Convert to fraction form
    460,067.90/634,878.15 = 258,825.02/x
  3. Step 3: Cross multiply
    460,067.90x = 634,878.15 × 258,825.02
  4. Step 4: Simplify right side
    460,067.90x = 164,322,349,871.31
  5. Step 5: Solve for x
    x = 164,322,349,871.31/460,067.90
  6. Step 6: Final answer
    x = 357,169.78

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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.