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Finding the Fourth Proportional to 476,678.64, 657,821.88 and 261,823.68

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Solution

The fourth proportional to 476,678.64, 657,821.88 and 261,823.68 is: 361,319.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,678.64 : 657,821.88 = 261,823.68 : x
  2. Step 2: Convert to fraction form
    476,678.64/657,821.88 = 261,823.68/x
  3. Step 3: Cross multiply
    476,678.64x = 657,821.88 × 261,823.68
  4. Step 4: Simplify right side
    476,678.64x = 172,233,345,406.12
  5. Step 5: Solve for x
    x = 172,233,345,406.12/476,678.64
  6. Step 6: Final answer
    x = 361,319.62

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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.