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Finding the Fourth Proportional to 384,258.29, 530,274.39 and 223,152.93

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Solution

The fourth proportional to 384,258.29, 530,274.39 and 223,152.93 is: 307,949.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,258.29 : 530,274.39 = 223,152.93 : x
  2. Step 2: Convert to fraction form
    384,258.29/530,274.39 = 223,152.93/x
  3. Step 3: Cross multiply
    384,258.29x = 530,274.39 × 223,152.93
  4. Step 4: Simplify right side
    384,258.29x = 118,332,283,832.46
  5. Step 5: Solve for x
    x = 118,332,283,832.46/384,258.29
  6. Step 6: Final answer
    x = 307,949.86

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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.