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Finding the Fourth Proportional to 289,838.40, 434,834.40 and 102,830.40

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Solution

The fourth proportional to 289,838.40, 434,834.40 and 102,830.40 is: 154,272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,838.40 : 434,834.40 = 102,830.40 : x
  2. Step 2: Convert to fraction form
    289,838.40/434,834.40 = 102,830.40/x
  3. Step 3: Cross multiply
    289,838.40x = 434,834.40 × 102,830.40
  4. Step 4: Simplify right side
    289,838.40x = 44,714,195,285.76
  5. Step 5: Solve for x
    x = 44,714,195,285.76/289,838.40
  6. Step 6: Final answer
    x = 154,272.85

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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.