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Finding the Fourth Proportional to 502,529.94, 693,255.24 and 298,587.06

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Solution

The fourth proportional to 502,529.94, 693,255.24 and 298,587.06 is: 411,909.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,529.94 : 693,255.24 = 298,587.06 : x
  2. Step 2: Convert to fraction form
    502,529.94/693,255.24 = 298,587.06/x
  3. Step 3: Cross multiply
    502,529.94x = 693,255.24 × 298,587.06
  4. Step 4: Simplify right side
    502,529.94x = 206,997,043,941.19
  5. Step 5: Solve for x
    x = 206,997,043,941.19/502,529.94
  6. Step 6: Final answer
    x = 411,909.87

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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.