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Finding the Fourth Proportional to 338,007.26, 466,417.64 and 202,014.14

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Solution

The fourth proportional to 338,007.26, 466,417.64 and 202,014.14 is: 278,760.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,007.26 : 466,417.64 = 202,014.14 : x
  2. Step 2: Convert to fraction form
    338,007.26/466,417.64 = 202,014.14/x
  3. Step 3: Cross multiply
    338,007.26x = 466,417.64 × 202,014.14
  4. Step 4: Simplify right side
    338,007.26x = 94,222,956,598.38
  5. Step 5: Solve for x
    x = 94,222,956,598.38/338,007.26
  6. Step 6: Final answer
    x = 278,760.15

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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.