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Finding the Fourth Proportional to 314,447.67, 433,940.90 and 180,285.75

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Solution

The fourth proportional to 314,447.67, 433,940.90 and 180,285.75 is: 248,796.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,447.67 : 433,940.90 = 180,285.75 : x
  2. Step 2: Convert to fraction form
    314,447.67/433,940.90 = 180,285.75/x
  3. Step 3: Cross multiply
    314,447.67x = 433,940.90 × 180,285.75
  4. Step 4: Simplify right side
    314,447.67x = 78,233,359,710.75
  5. Step 5: Solve for x
    x = 78,233,359,710.75/314,447.67
  6. Step 6: Final answer
    x = 248,796.12

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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.