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Finding the Fourth Proportional to 289,694.40, 434,541.60 and 219,710.40

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Solution

The fourth proportional to 289,694.40, 434,541.60 and 219,710.40 is: 329,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,694.40 : 434,541.60 = 219,710.40 : x
  2. Step 2: Convert to fraction form
    289,694.40/434,541.60 = 219,710.40/x
  3. Step 3: Cross multiply
    289,694.40x = 434,541.60 × 219,710.40
  4. Step 4: Simplify right side
    289,694.40x = 95,473,308,752.64
  5. Step 5: Solve for x
    x = 95,473,308,752.64/289,694.40
  6. Step 6: Final answer
    x = 329,565.60

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Why These Related Problems?

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