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Finding the Fourth Proportional to 314,513.80, 434,176.14 and 201,401.08

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Solution

The fourth proportional to 314,513.80, 434,176.14 and 201,401.08 is: 278,027.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,513.80 : 434,176.14 = 201,401.08 : x
  2. Step 2: Convert to fraction form
    314,513.80/434,176.14 = 201,401.08/x
  3. Step 3: Cross multiply
    314,513.80x = 434,176.14 × 201,401.08
  4. Step 4: Simplify right side
    314,513.80x = 87,443,543,506.23
  5. Step 5: Solve for x
    x = 87,443,543,506.23/314,513.80
  6. Step 6: Final answer
    x = 278,027.68

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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.