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Finding the Fourth Proportional to 302,807.36, 454,398.96 and 205,646.24

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Solution

The fourth proportional to 302,807.36, 454,398.96 and 205,646.24 is: 308,596.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,807.36 : 454,398.96 = 205,646.24 : x
  2. Step 2: Convert to fraction form
    302,807.36/454,398.96 = 205,646.24/x
  3. Step 3: Cross multiply
    302,807.36x = 454,398.96 × 205,646.24
  4. Step 4: Simplify right side
    302,807.36x = 93,445,437,583.91
  5. Step 5: Solve for x
    x = 93,445,437,583.91/302,807.36
  6. Step 6: Final answer
    x = 308,596.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.