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Finding the Fourth Proportional to 289,369.80, 434,054.70 and 194,891.40

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Solution

The fourth proportional to 289,369.80, 434,054.70 and 194,891.40 is: 292,337.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,369.80 : 434,054.70 = 194,891.40 : x
  2. Step 2: Convert to fraction form
    289,369.80/434,054.70 = 194,891.40/x
  3. Step 3: Cross multiply
    289,369.80x = 434,054.70 × 194,891.40
  4. Step 4: Simplify right side
    289,369.80x = 84,593,528,159.58
  5. Step 5: Solve for x
    x = 84,593,528,159.58/289,369.80
  6. Step 6: Final answer
    x = 292,337.10

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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.