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Finding the Fourth Proportional to 535,252.24, 802,878.63 and 161,275.24

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Solution

The fourth proportional to 535,252.24, 802,878.63 and 161,275.24 is: 241,912.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,252.24 : 802,878.63 = 161,275.24 : x
  2. Step 2: Convert to fraction form
    535,252.24/802,878.63 = 161,275.24/x
  3. Step 3: Cross multiply
    535,252.24x = 802,878.63 × 161,275.24
  4. Step 4: Simplify right side
    535,252.24x = 129,484,443,744.12
  5. Step 5: Solve for x
    x = 129,484,443,744.12/535,252.24
  6. Step 6: Final answer
    x = 241,912.94

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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.