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Finding the Fourth Proportional to 345,708, 477,077.04 and 194,810.40

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Solution

The fourth proportional to 345,708, 477,077.04 and 194,810.40 is: 268,838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,708 : 477,077.04 = 194,810.40 : x
  2. Step 2: Convert to fraction form
    345,708/477,077.04 = 194,810.40/x
  3. Step 3: Cross multiply
    345,708x = 477,077.04 × 194,810.40
  4. Step 4: Simplify right side
    345,708x = 92,939,568,993.22
  5. Step 5: Solve for x
    x = 92,939,568,993.22/345,708
  6. Step 6: Final answer
    x = 268,838.35

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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.