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Finding the Fourth Proportional to 309,215.70, 463,693.95 and 98,797.14

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Solution

The fourth proportional to 309,215.70, 463,693.95 and 98,797.14 is: 148,154.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,215.70 : 463,693.95 = 98,797.14 : x
  2. Step 2: Convert to fraction form
    309,215.70/463,693.95 = 98,797.14/x
  3. Step 3: Cross multiply
    309,215.70x = 463,693.95 × 98,797.14
  4. Step 4: Simplify right side
    309,215.70x = 45,811,636,095.30
  5. Step 5: Solve for x
    x = 45,811,636,095.30/309,215.70
  6. Step 6: Final answer
    x = 148,154.30

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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.