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Finding the Fourth Proportional to 355,641.84, 491,265 and 284,530.32

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Solution

The fourth proportional to 355,641.84, 491,265 and 284,530.32 is: 393,035.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,641.84 : 491,265 = 284,530.32 : x
  2. Step 2: Convert to fraction form
    355,641.84/491,265 = 284,530.32/x
  3. Step 3: Cross multiply
    355,641.84x = 491,265 × 284,530.32
  4. Step 4: Simplify right side
    355,641.84x = 139,779,787,654.80
  5. Step 5: Solve for x
    x = 139,779,787,654.80/355,641.84
  6. Step 6: Final answer
    x = 393,035.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.