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Finding the Fourth Proportional to 567,256.74, 782,814.44 and 309,133.76

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Solution

The fourth proportional to 567,256.74, 782,814.44 and 309,133.76 is: 426,604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,256.74 : 782,814.44 = 309,133.76 : x
  2. Step 2: Convert to fraction form
    567,256.74/782,814.44 = 309,133.76/x
  3. Step 3: Cross multiply
    567,256.74x = 782,814.44 × 309,133.76
  4. Step 4: Simplify right side
    567,256.74x = 241,994,366,339.38
  5. Step 5: Solve for x
    x = 241,994,366,339.38/567,256.74
  6. Step 6: Final answer
    x = 426,604.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.