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Finding the Fourth Proportional to 563,357.66, 844,467.87 and 353,143.22

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Solution

The fourth proportional to 563,357.66, 844,467.87 and 353,143.22 is: 529,358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,357.66 : 844,467.87 = 353,143.22 : x
  2. Step 2: Convert to fraction form
    563,357.66/844,467.87 = 353,143.22/x
  3. Step 3: Cross multiply
    563,357.66x = 844,467.87 × 353,143.22
  4. Step 4: Simplify right side
    563,357.66x = 298,218,102,798.34
  5. Step 5: Solve for x
    x = 298,218,102,798.34/563,357.66
  6. Step 6: Final answer
    x = 529,358.39

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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.