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Finding the Fourth Proportional to 341,406.78, 471,188.79 and 190,513.50

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Solution

The fourth proportional to 341,406.78, 471,188.79 and 190,513.50 is: 262,935.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,406.78 : 471,188.79 = 190,513.50 : x
  2. Step 2: Convert to fraction form
    341,406.78/471,188.79 = 190,513.50/x
  3. Step 3: Cross multiply
    341,406.78x = 471,188.79 × 190,513.50
  4. Step 4: Simplify right side
    341,406.78x = 89,767,825,543.67
  5. Step 5: Solve for x
    x = 89,767,825,543.67/341,406.78
  6. Step 6: Final answer
    x = 262,935.10

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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.