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Finding the Fourth Proportional to 314,507.67, 434,025.75 and 178,545.63

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Solution

The fourth proportional to 314,507.67, 434,025.75 and 178,545.63 is: 246,395.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,507.67 : 434,025.75 = 178,545.63 : x
  2. Step 2: Convert to fraction form
    314,507.67/434,025.75 = 178,545.63/x
  3. Step 3: Cross multiply
    314,507.67x = 434,025.75 × 178,545.63
  4. Step 4: Simplify right side
    314,507.67x = 77,493,400,969.97
  5. Step 5: Solve for x
    x = 77,493,400,969.97/314,507.67
  6. Step 6: Final answer
    x = 246,395.90

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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.