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Finding the Fourth Proportional to 314,444.73, 471,670.74 and 134,505.66

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Solution

The fourth proportional to 314,444.73, 471,670.74 and 134,505.66 is: 201,760.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,444.73 : 471,670.74 = 134,505.66 : x
  2. Step 2: Convert to fraction form
    314,444.73/471,670.74 = 134,505.66/x
  3. Step 3: Cross multiply
    314,444.73x = 471,670.74 × 134,505.66
  4. Step 4: Simplify right side
    314,444.73x = 63,442,384,186.39
  5. Step 5: Solve for x
    x = 63,442,384,186.39/314,444.73
  6. Step 6: Final answer
    x = 201,760.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.