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Finding the Fourth Proportional to 535,065, 802,510 and 161,000.52

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Solution

The fourth proportional to 535,065, 802,510 and 161,000.52 is: 241,474.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,065 : 802,510 = 161,000.52 : x
  2. Step 2: Convert to fraction form
    535,065/802,510 = 161,000.52/x
  3. Step 3: Cross multiply
    535,065x = 802,510 × 161,000.52
  4. Step 4: Simplify right side
    535,065x = 129,204,527,305.20
  5. Step 5: Solve for x
    x = 129,204,527,305.20/535,065
  6. Step 6: Final answer
    x = 241,474.45

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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.