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Finding the Fourth Proportional to 498,312.66, 687,455.75 and 304,728.83

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Solution

The fourth proportional to 498,312.66, 687,455.75 and 304,728.83 is: 420,393.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,312.66 : 687,455.75 = 304,728.83 : x
  2. Step 2: Convert to fraction form
    498,312.66/687,455.75 = 304,728.83/x
  3. Step 3: Cross multiply
    498,312.66x = 687,455.75 × 304,728.83
  4. Step 4: Simplify right side
    498,312.66x = 209,487,587,331.09
  5. Step 5: Solve for x
    x = 209,487,587,331.09/498,312.66
  6. Step 6: Final answer
    x = 420,393.87

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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.