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Finding the Fourth Proportional to 314,573.14, 471,934.50 and 101,361.21

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Solution

The fourth proportional to 314,573.14, 471,934.50 and 101,361.21 is: 152,065.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,573.14 : 471,934.50 = 101,361.21 : x
  2. Step 2: Convert to fraction form
    314,573.14/471,934.50 = 101,361.21/x
  3. Step 3: Cross multiply
    314,573.14x = 471,934.50 × 101,361.21
  4. Step 4: Simplify right side
    314,573.14x = 47,835,851,960.75
  5. Step 5: Solve for x
    x = 47,835,851,960.75/314,573.14
  6. Step 6: Final answer
    x = 152,065.91

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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.