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Finding the Fourth Proportional to 616,711.59, 850,750.29 and 412,771.05

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Solution

The fourth proportional to 616,711.59, 850,750.29 and 412,771.05 is: 569,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,711.59 : 850,750.29 = 412,771.05 : x
  2. Step 2: Convert to fraction form
    616,711.59/850,750.29 = 412,771.05/x
  3. Step 3: Cross multiply
    616,711.59x = 850,750.29 × 412,771.05
  4. Step 4: Simplify right side
    616,711.59x = 351,165,090,491.11
  5. Step 5: Solve for x
    x = 351,165,090,491.11/616,711.59
  6. Step 6: Final answer
    x = 569,415.42

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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.