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Finding the Fourth Proportional to 597,632.90, 896,713.34 and 313,255.40

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Solution

The fourth proportional to 597,632.90, 896,713.34 and 313,255.40 is: 470,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,632.90 : 896,713.34 = 313,255.40 : x
  2. Step 2: Convert to fraction form
    597,632.90/896,713.34 = 313,255.40/x
  3. Step 3: Cross multiply
    597,632.90x = 896,713.34 × 313,255.40
  4. Step 4: Simplify right side
    597,632.90x = 280,900,296,007.04
  5. Step 5: Solve for x
    x = 280,900,296,007.04/597,632.90
  6. Step 6: Final answer
    x = 470,021.47

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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.