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Finding the Fourth Proportional to 597,630.72, 896,710.06 and 313,253.20

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Solution

The fourth proportional to 597,630.72, 896,710.06 and 313,253.20 is: 470,018.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,630.72 : 896,710.06 = 313,253.20 : x
  2. Step 2: Convert to fraction form
    597,630.72/896,710.06 = 313,253.20/x
  3. Step 3: Cross multiply
    597,630.72x = 896,710.06 × 313,253.20
  4. Step 4: Simplify right side
    597,630.72x = 280,897,297,279.65
  5. Step 5: Solve for x
    x = 280,897,297,279.65/597,630.72
  6. Step 6: Final answer
    x = 470,018.17

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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.