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Finding the Fourth Proportional to 582,401.64, 803,590.24 and 340,637

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Solution

The fourth proportional to 582,401.64, 803,590.24 and 340,637 is: 470,006.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,401.64 : 803,590.24 = 340,637 : x
  2. Step 2: Convert to fraction form
    582,401.64/803,590.24 = 340,637/x
  3. Step 3: Cross multiply
    582,401.64x = 803,590.24 × 340,637
  4. Step 4: Simplify right side
    582,401.64x = 273,732,568,582.88
  5. Step 5: Solve for x
    x = 273,732,568,582.88/582,401.64
  6. Step 6: Final answer
    x = 470,006.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.