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Finding the Fourth Proportional to 569,452.91, 785,865.98 and 311,347.04

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Solution

The fourth proportional to 569,452.91, 785,865.98 and 311,347.04 is: 429,670.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,452.91 : 785,865.98 = 311,347.04 : x
  2. Step 2: Convert to fraction form
    569,452.91/785,865.98 = 311,347.04/x
  3. Step 3: Cross multiply
    569,452.91x = 785,865.98 × 311,347.04
  4. Step 4: Simplify right side
    569,452.91x = 244,677,043,558.74
  5. Step 5: Solve for x
    x = 244,677,043,558.74/569,452.91
  6. Step 6: Final answer
    x = 429,670.38

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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.