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Finding the Fourth Proportional to 289,708.60, 434,562.90 and 163,737.40

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Solution

The fourth proportional to 289,708.60, 434,562.90 and 163,737.40 is: 245,606.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,708.60 : 434,562.90 = 163,737.40 : x
  2. Step 2: Convert to fraction form
    289,708.60/434,562.90 = 163,737.40/x
  3. Step 3: Cross multiply
    289,708.60x = 434,562.90 × 163,737.40
  4. Step 4: Simplify right side
    289,708.60x = 71,154,199,382.46
  5. Step 5: Solve for x
    x = 71,154,199,382.46/289,708.60
  6. Step 6: Final answer
    x = 245,606.10

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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.