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Finding the Fourth Proportional to 497,696.28, 746,854.02 and 202,208.28

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Solution

The fourth proportional to 497,696.28, 746,854.02 and 202,208.28 is: 303,438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,696.28 : 746,854.02 = 202,208.28 : x
  2. Step 2: Convert to fraction form
    497,696.28/746,854.02 = 202,208.28/x
  3. Step 3: Cross multiply
    497,696.28x = 746,854.02 × 202,208.28
  4. Step 4: Simplify right side
    497,696.28x = 151,020,066,795.29
  5. Step 5: Solve for x
    x = 151,020,066,795.29/497,696.28
  6. Step 6: Final answer
    x = 303,438.21

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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.