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Finding the Fourth Proportional to 343,780.88, 474,395.74 and 190,822.10

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Solution

The fourth proportional to 343,780.88, 474,395.74 and 190,822.10 is: 263,322.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,780.88 : 474,395.74 = 190,822.10 : x
  2. Step 2: Convert to fraction form
    343,780.88/474,395.74 = 190,822.10/x
  3. Step 3: Cross multiply
    343,780.88x = 474,395.74 × 190,822.10
  4. Step 4: Simplify right side
    343,780.88x = 90,525,188,488.82
  5. Step 5: Solve for x
    x = 90,525,188,488.82/343,780.88
  6. Step 6: Final answer
    x = 263,322.35

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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.