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Finding the Fourth Proportional to 427,564.84, 641,340.54 and 147,084.52

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Solution

The fourth proportional to 427,564.84, 641,340.54 and 147,084.52 is: 220,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,564.84 : 641,340.54 = 147,084.52 : x
  2. Step 2: Convert to fraction form
    427,564.84/641,340.54 = 147,084.52/x
  3. Step 3: Cross multiply
    427,564.84x = 641,340.54 × 147,084.52
  4. Step 4: Simplify right side
    427,564.84x = 94,331,265,482.44
  5. Step 5: Solve for x
    x = 94,331,265,482.44/427,564.84
  6. Step 6: Final answer
    x = 220,624.47

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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.