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Finding the Fourth Proportional to 289,619.80, 434,429.70 and 242,963.80

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Solution

The fourth proportional to 289,619.80, 434,429.70 and 242,963.80 is: 364,445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,619.80 : 434,429.70 = 242,963.80 : x
  2. Step 2: Convert to fraction form
    289,619.80/434,429.70 = 242,963.80/x
  3. Step 3: Cross multiply
    289,619.80x = 434,429.70 × 242,963.80
  4. Step 4: Simplify right side
    289,619.80x = 105,550,690,744.86
  5. Step 5: Solve for x
    x = 105,550,690,744.86/289,619.80
  6. Step 6: Final answer
    x = 364,445.70

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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.