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Finding the Fourth Proportional to 389,237, 584,031.18 and 223,025

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Solution

The fourth proportional to 389,237, 584,031.18 and 223,025 is: 334,638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,237 : 584,031.18 = 223,025 : x
  2. Step 2: Convert to fraction form
    389,237/584,031.18 = 223,025/x
  3. Step 3: Cross multiply
    389,237x = 584,031.18 × 223,025
  4. Step 4: Simplify right side
    389,237x = 130,253,553,919.50
  5. Step 5: Solve for x
    x = 130,253,553,919.50/389,237
  6. Step 6: Final answer
    x = 334,638.16

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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.