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Finding the Fourth Proportional to 765,647.76, 1,148,384.08 and 204,726

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Solution

The fourth proportional to 765,647.76, 1,148,384.08 and 204,726 is: 307,065.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,647.76 : 1,148,384.08 = 204,726 : x
  2. Step 2: Convert to fraction form
    765,647.76/1,148,384.08 = 204,726/x
  3. Step 3: Cross multiply
    765,647.76x = 1,148,384.08 × 204,726
  4. Step 4: Simplify right side
    765,647.76x = 235,104,079,162.08
  5. Step 5: Solve for x
    x = 235,104,079,162.08/765,647.76
  6. Step 6: Final answer
    x = 307,065.59

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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.