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Finding the Fourth Proportional to 561,106.44, 773,814.06 and 438,615

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Solution

The fourth proportional to 561,106.44, 773,814.06 and 438,615 is: 604,887.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,106.44 : 773,814.06 = 438,615 : x
  2. Step 2: Convert to fraction form
    561,106.44/773,814.06 = 438,615/x
  3. Step 3: Cross multiply
    561,106.44x = 773,814.06 × 438,615
  4. Step 4: Simplify right side
    561,106.44x = 339,406,453,926.90
  5. Step 5: Solve for x
    x = 339,406,453,926.90/561,106.44
  6. Step 6: Final answer
    x = 604,887.82

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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.