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Finding the Fourth Proportional to 309,095.79, 463,710.27 and 95,859.41

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Solution

The fourth proportional to 309,095.79, 463,710.27 and 95,859.41 is: 143,809.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,095.79 : 463,710.27 = 95,859.41 : x
  2. Step 2: Convert to fraction form
    309,095.79/463,710.27 = 95,859.41/x
  3. Step 3: Cross multiply
    309,095.79x = 463,710.27 × 95,859.41
  4. Step 4: Simplify right side
    309,095.79x = 44,450,990,574.59
  5. Step 5: Solve for x
    x = 44,450,990,574.59/309,095.79
  6. Step 6: Final answer
    x = 143,809.76

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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.