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Finding the Fourth Proportional to 289,856.30, 434,784.45 and 132,392.30

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Solution

The fourth proportional to 289,856.30, 434,784.45 and 132,392.30 is: 198,588.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,856.30 : 434,784.45 = 132,392.30 : x
  2. Step 2: Convert to fraction form
    289,856.30/434,784.45 = 132,392.30/x
  3. Step 3: Cross multiply
    289,856.30x = 434,784.45 × 132,392.30
  4. Step 4: Simplify right side
    289,856.30x = 57,562,113,339.74
  5. Step 5: Solve for x
    x = 57,562,113,339.74/289,856.30
  6. Step 6: Final answer
    x = 198,588.45

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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.