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Finding the Fourth Proportional to 396,007.88, 546,291.42 and 282,896.24

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Solution

The fourth proportional to 396,007.88, 546,291.42 and 282,896.24 is: 390,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,007.88 : 546,291.42 = 282,896.24 : x
  2. Step 2: Convert to fraction form
    396,007.88/546,291.42 = 282,896.24/x
  3. Step 3: Cross multiply
    396,007.88x = 546,291.42 × 282,896.24
  4. Step 4: Simplify right side
    396,007.88x = 154,543,788,662.26
  5. Step 5: Solve for x
    x = 154,543,788,662.26/396,007.88
  6. Step 6: Final answer
    x = 390,254.33

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1.5x scale

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.