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Finding the Fourth Proportional to 382,454.60, 572,904.30 and 195,571.40

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Solution

The fourth proportional to 382,454.60, 572,904.30 and 195,571.40 is: 292,959.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,454.60 : 572,904.30 = 195,571.40 : x
  2. Step 2: Convert to fraction form
    382,454.60/572,904.30 = 195,571.40/x
  3. Step 3: Cross multiply
    382,454.60x = 572,904.30 × 195,571.40
  4. Step 4: Simplify right side
    382,454.60x = 112,043,696,017.02
  5. Step 5: Solve for x
    x = 112,043,696,017.02/382,454.60
  6. Step 6: Final answer
    x = 292,959.47

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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.