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Finding the Fourth Proportional to 334,532.94, 461,651.52 and 181,571.40

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Solution

The fourth proportional to 334,532.94, 461,651.52 and 181,571.40 is: 250,566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,532.94 : 461,651.52 = 181,571.40 : x
  2. Step 2: Convert to fraction form
    334,532.94/461,651.52 = 181,571.40/x
  3. Step 3: Cross multiply
    334,532.94x = 461,651.52 × 181,571.40
  4. Step 4: Simplify right side
    334,532.94x = 83,822,712,798.53
  5. Step 5: Solve for x
    x = 83,822,712,798.53/334,532.94
  6. Step 6: Final answer
    x = 250,566.40

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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.