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Finding the Fourth Proportional to 550,439.04, 759,636.56 and 414,228

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Solution

The fourth proportional to 550,439.04, 759,636.56 and 414,228 is: 571,657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,439.04 : 759,636.56 = 414,228 : x
  2. Step 2: Convert to fraction form
    550,439.04/759,636.56 = 414,228/x
  3. Step 3: Cross multiply
    550,439.04x = 759,636.56 × 414,228
  4. Step 4: Simplify right side
    550,439.04x = 314,662,732,975.68
  5. Step 5: Solve for x
    x = 314,662,732,975.68/550,439.04
  6. Step 6: Final answer
    x = 571,657.73

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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.