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Finding the Fourth Proportional to 704,007.05, 971,528.76 and 381,716.60

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Solution

The fourth proportional to 704,007.05, 971,528.76 and 381,716.60 is: 526,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,007.05 : 971,528.76 = 381,716.60 : x
  2. Step 2: Convert to fraction form
    704,007.05/971,528.76 = 381,716.60/x
  3. Step 3: Cross multiply
    704,007.05x = 971,528.76 × 381,716.60
  4. Step 4: Simplify right side
    704,007.05x = 370,848,650,211.77
  5. Step 5: Solve for x
    x = 370,848,650,211.77/704,007.05
  6. Step 6: Final answer
    x = 526,768.38

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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.