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Finding the Fourth Proportional to 491,068.32, 677,681.28 and 289,864.32

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Solution

The fourth proportional to 491,068.32, 677,681.28 and 289,864.32 is: 400,016.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,068.32 : 677,681.28 = 289,864.32 : x
  2. Step 2: Convert to fraction form
    491,068.32/677,681.28 = 289,864.32/x
  3. Step 3: Cross multiply
    491,068.32x = 677,681.28 × 289,864.32
  4. Step 4: Simplify right side
    491,068.32x = 196,435,623,403.93
  5. Step 5: Solve for x
    x = 196,435,623,403.93/491,068.32
  6. Step 6: Final answer
    x = 400,016.89

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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.