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Finding the Fourth Proportional to 370,164.35, 510,861.27 and 224,936.61

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Solution

The fourth proportional to 370,164.35, 510,861.27 and 224,936.61 is: 310,433.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,164.35 : 510,861.27 = 224,936.61 : x
  2. Step 2: Convert to fraction form
    370,164.35/510,861.27 = 224,936.61/x
  3. Step 3: Cross multiply
    370,164.35x = 510,861.27 × 224,936.61
  4. Step 4: Simplify right side
    370,164.35x = 114,911,402,254.10
  5. Step 5: Solve for x
    x = 114,911,402,254.10/370,164.35
  6. Step 6: Final answer
    x = 310,433.47

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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.