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Finding the Fourth Proportional to 422,543.11, 583,108.53 and 228,956.10

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Solution

The fourth proportional to 422,543.11, 583,108.53 and 228,956.10 is: 315,958.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,543.11 : 583,108.53 = 228,956.10 : x
  2. Step 2: Convert to fraction form
    422,543.11/583,108.53 = 228,956.10/x
  3. Step 3: Cross multiply
    422,543.11x = 583,108.53 × 228,956.10
  4. Step 4: Simplify right side
    422,543.11x = 133,506,254,905.53
  5. Step 5: Solve for x
    x = 133,506,254,905.53/422,543.11
  6. Step 6: Final answer
    x = 315,958.90

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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.