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Finding the Fourth Proportional to 529,493.71, 730,706.11 and 287,776.85

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Solution

The fourth proportional to 529,493.71, 730,706.11 and 287,776.85 is: 397,134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,493.71 : 730,706.11 = 287,776.85 : x
  2. Step 2: Convert to fraction form
    529,493.71/730,706.11 = 287,776.85/x
  3. Step 3: Cross multiply
    529,493.71x = 730,706.11 × 287,776.85
  4. Step 4: Simplify right side
    529,493.71x = 210,280,303,718.88
  5. Step 5: Solve for x
    x = 210,280,303,718.88/529,493.71
  6. Step 6: Final answer
    x = 397,134.66

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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.