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Finding the Fourth Proportional to 314,636.94, 471,639.39 and 101,248.03

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Solution

The fourth proportional to 314,636.94, 471,639.39 and 101,248.03 is: 151,770.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,636.94 : 471,639.39 = 101,248.03 : x
  2. Step 2: Convert to fraction form
    314,636.94/471,639.39 = 101,248.03/x
  3. Step 3: Cross multiply
    314,636.94x = 471,639.39 × 101,248.03
  4. Step 4: Simplify right side
    314,636.94x = 47,752,559,107.90
  5. Step 5: Solve for x
    x = 47,752,559,107.90/314,636.94
  6. Step 6: Final answer
    x = 151,770.35

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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.