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Finding the Fourth Proportional to 345,880.13, 477,314.57 and 194,977.13

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Solution

The fourth proportional to 345,880.13, 477,314.57 and 194,977.13 is: 269,068.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,880.13 : 477,314.57 = 194,977.13 : x
  2. Step 2: Convert to fraction form
    345,880.13/477,314.57 = 194,977.13/x
  3. Step 3: Cross multiply
    345,880.13x = 477,314.57 × 194,977.13
  4. Step 4: Simplify right side
    345,880.13x = 93,065,423,066.65
  5. Step 5: Solve for x
    x = 93,065,423,066.65/345,880.13
  6. Step 6: Final answer
    x = 269,068.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.