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Finding the Fourth Proportional to 536,850, 740,867.12 and 295,138.66

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Solution

The fourth proportional to 536,850, 740,867.12 and 295,138.66 is: 407,299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,850 : 740,867.12 = 295,138.66 : x
  2. Step 2: Convert to fraction form
    536,850/740,867.12 = 295,138.66/x
  3. Step 3: Cross multiply
    536,850x = 740,867.12 × 295,138.66
  4. Step 4: Simplify right side
    536,850x = 218,658,529,034.86
  5. Step 5: Solve for x
    x = 218,658,529,034.86/536,850
  6. Step 6: Final answer
    x = 407,299.11

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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.