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Finding the Fourth Proportional to 476,498.08, 657,575.04 and 261,658

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Solution

The fourth proportional to 476,498.08, 657,575.04 and 261,658 is: 361,092.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,498.08 : 657,575.04 = 261,658 : x
  2. Step 2: Convert to fraction form
    476,498.08/657,575.04 = 261,658/x
  3. Step 3: Cross multiply
    476,498.08x = 657,575.04 × 261,658
  4. Step 4: Simplify right side
    476,498.08x = 172,059,769,816.32
  5. Step 5: Solve for x
    x = 172,059,769,816.32/476,498.08
  6. Step 6: Final answer
    x = 361,092.26

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