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Finding the Fourth Proportional to 334,532.94, 461,656.85 and 181,571.35

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Solution

The fourth proportional to 334,532.94, 461,656.85 and 181,571.35 is: 250,569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,532.94 : 461,656.85 = 181,571.35 : x
  2. Step 2: Convert to fraction form
    334,532.94/461,656.85 = 181,571.35/x
  3. Step 3: Cross multiply
    334,532.94x = 461,656.85 × 181,571.35
  4. Step 4: Simplify right side
    334,532.94x = 83,823,657,491.25
  5. Step 5: Solve for x
    x = 83,823,657,491.25/334,532.94
  6. Step 6: Final answer
    x = 250,569.22

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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.