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Finding the Fourth Proportional to 334,798.84, 461,950.51 and 198,878.61

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Solution

The fourth proportional to 334,798.84, 461,950.51 and 198,878.61 is: 274,409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,798.84 : 461,950.51 = 198,878.61 : x
  2. Step 2: Convert to fraction form
    334,798.84/461,950.51 = 198,878.61/x
  3. Step 3: Cross multiply
    334,798.84x = 461,950.51 × 198,878.61
  4. Step 4: Simplify right side
    334,798.84x = 91,872,075,317.59
  5. Step 5: Solve for x
    x = 91,872,075,317.59/334,798.84
  6. Step 6: Final answer
    x = 274,409.78

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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.