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Finding the Fourth Proportional to 389,236, 584,029.68 and 223,024

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Solution

The fourth proportional to 389,236, 584,029.68 and 223,024 is: 334,636.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,236 : 584,029.68 = 223,024 : x
  2. Step 2: Convert to fraction form
    389,236/584,029.68 = 223,024/x
  3. Step 3: Cross multiply
    389,236x = 584,029.68 × 223,024
  4. Step 4: Simplify right side
    389,236x = 130,252,635,352.32
  5. Step 5: Solve for x
    x = 130,252,635,352.32/389,236
  6. Step 6: Final answer
    x = 334,636.66

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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.