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Finding the Fourth Proportional to 364,178.56, 502,883.74 and 228,445.82

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Solution

The fourth proportional to 364,178.56, 502,883.74 and 228,445.82 is: 315,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,178.56 : 502,883.74 = 228,445.82 : x
  2. Step 2: Convert to fraction form
    364,178.56/502,883.74 = 228,445.82/x
  3. Step 3: Cross multiply
    364,178.56x = 502,883.74 × 228,445.82
  4. Step 4: Simplify right side
    364,178.56x = 114,881,688,005.92
  5. Step 5: Solve for x
    x = 114,881,688,005.92/364,178.56
  6. Step 6: Final answer
    x = 315,454.29

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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.