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Finding the Fourth Proportional to 652,061.17, 978,095.13 and 296,826.76

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Solution

The fourth proportional to 652,061.17, 978,095.13 and 296,826.76 is: 445,241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,061.17 : 978,095.13 = 296,826.76 : x
  2. Step 2: Convert to fraction form
    652,061.17/978,095.13 = 296,826.76/x
  3. Step 3: Cross multiply
    652,061.17x = 978,095.13 × 296,826.76
  4. Step 4: Simplify right side
    652,061.17x = 290,324,808,409.68
  5. Step 5: Solve for x
    x = 290,324,808,409.68/652,061.17
  6. Step 6: Final answer
    x = 445,241.68

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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.