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Finding the Fourth Proportional to 382,718.40, 573,818.40 and 202,833.60

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Solution

The fourth proportional to 382,718.40, 573,818.40 and 202,833.60 is: 304,113.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,718.40 : 573,818.40 = 202,833.60 : x
  2. Step 2: Convert to fraction form
    382,718.40/573,818.40 = 202,833.60/x
  3. Step 3: Cross multiply
    382,718.40x = 573,818.40 × 202,833.60
  4. Step 4: Simplify right side
    382,718.40x = 116,389,651,818.24
  5. Step 5: Solve for x
    x = 116,389,651,818.24/382,718.40
  6. Step 6: Final answer
    x = 304,113.03

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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.