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Finding the Fourth Proportional to 475,483.29, 656,234.22 and 294,253.59

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Solution

The fourth proportional to 475,483.29, 656,234.22 and 294,253.59 is: 406,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,483.29 : 656,234.22 = 294,253.59 : x
  2. Step 2: Convert to fraction form
    475,483.29/656,234.22 = 294,253.59/x
  3. Step 3: Cross multiply
    475,483.29x = 656,234.22 × 294,253.59
  4. Step 4: Simplify right side
    475,483.29x = 193,099,274,988.86
  5. Step 5: Solve for x
    x = 193,099,274,988.86/475,483.29
  6. Step 6: Final answer
    x = 406,111.59

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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.