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Finding the Fourth Proportional to 537,124.10, 804,714.15 and 256,021.70

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Solution

The fourth proportional to 537,124.10, 804,714.15 and 256,021.70 is: 383,569.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,124.10 : 804,714.15 = 256,021.70 : x
  2. Step 2: Convert to fraction form
    537,124.10/804,714.15 = 256,021.70/x
  3. Step 3: Cross multiply
    537,124.10x = 804,714.15 × 256,021.70
  4. Step 4: Simplify right side
    537,124.10x = 206,024,284,697.06
  5. Step 5: Solve for x
    x = 206,024,284,697.06/537,124.10
  6. Step 6: Final answer
    x = 383,569.24

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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.