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Finding the Fourth Proportional to 595,715.70, 822,093.15 and 323,784.21

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Solution

The fourth proportional to 595,715.70, 822,093.15 and 323,784.21 is: 446,825.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,715.70 : 822,093.15 = 323,784.21 : x
  2. Step 2: Convert to fraction form
    595,715.70/822,093.15 = 323,784.21/x
  3. Step 3: Cross multiply
    595,715.70x = 822,093.15 × 323,784.21
  4. Step 4: Simplify right side
    595,715.70x = 266,180,781,119.16
  5. Step 5: Solve for x
    x = 266,180,781,119.16/595,715.70
  6. Step 6: Final answer
    x = 446,825.19

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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.