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Finding the Fourth Proportional to 597,509.97, 896,529.92 and 313,132.91

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Solution

The fourth proportional to 597,509.97, 896,529.92 and 313,132.91 is: 469,838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,509.97 : 896,529.92 = 313,132.91 : x
  2. Step 2: Convert to fraction form
    597,509.97/896,529.92 = 313,132.91/x
  3. Step 3: Cross multiply
    597,509.97x = 896,529.92 × 313,132.91
  4. Step 4: Simplify right side
    597,509.97x = 280,733,022,751.67
  5. Step 5: Solve for x
    x = 280,733,022,751.67/597,509.97
  6. Step 6: Final answer
    x = 469,838.22

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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.