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Finding the Fourth Proportional to 416,482.78, 623,891.75 and 191,534.95

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Solution

The fourth proportional to 416,482.78, 623,891.75 and 191,534.95 is: 286,919.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,482.78 : 623,891.75 = 191,534.95 : x
  2. Step 2: Convert to fraction form
    416,482.78/623,891.75 = 191,534.95/x
  3. Step 3: Cross multiply
    416,482.78x = 623,891.75 × 191,534.95
  4. Step 4: Simplify right side
    416,482.78x = 119,497,075,141.66
  5. Step 5: Solve for x
    x = 119,497,075,141.66/416,482.78
  6. Step 6: Final answer
    x = 286,919.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.