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Finding the Fourth Proportional to 476,497.08, 657,573.66 and 261,657

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Solution

The fourth proportional to 476,497.08, 657,573.66 and 261,657 is: 361,090.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,497.08 : 657,573.66 = 261,657 : x
  2. Step 2: Convert to fraction form
    476,497.08/657,573.66 = 261,657/x
  3. Step 3: Cross multiply
    476,497.08x = 657,573.66 × 261,657
  4. Step 4: Simplify right side
    476,497.08x = 172,058,751,154.62
  5. Step 5: Solve for x
    x = 172,058,751,154.62/476,497.08
  6. Step 6: Final answer
    x = 361,090.88

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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.