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Finding the Fourth Proportional to 735,714, 1,103,571 and 210,402

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Solution

The fourth proportional to 735,714, 1,103,571 and 210,402 is: 315,603

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,714 : 1,103,571 = 210,402 : x
  2. Step 2: Convert to fraction form
    735,714/1,103,571 = 210,402/x
  3. Step 3: Cross multiply
    735,714x = 1,103,571 × 210,402
  4. Step 4: Simplify right side
    735,714x = 232,193,545,542
  5. Step 5: Solve for x
    x = 232,193,545,542/735,714
  6. Step 6: Final answer
    x = 315,603

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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.