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Finding the Fourth Proportional to 219,746.34, 329,278.50 and 152,409.78

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Solution

The fourth proportional to 219,746.34, 329,278.50 and 152,409.78 is: 228,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,746.34 : 329,278.50 = 152,409.78 : x
  2. Step 2: Convert to fraction form
    219,746.34/329,278.50 = 152,409.78/x
  3. Step 3: Cross multiply
    219,746.34x = 329,278.50 × 152,409.78
  4. Step 4: Simplify right side
    219,746.34x = 50,185,263,743.73
  5. Step 5: Solve for x
    x = 50,185,263,743.73/219,746.34
  6. Step 6: Final answer
    x = 228,378.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.