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Finding the Fourth Proportional to 522,040.48, 783,328.56 and 255,796

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Solution

The fourth proportional to 522,040.48, 783,328.56 and 255,796 is: 383,825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,040.48 : 783,328.56 = 255,796 : x
  2. Step 2: Convert to fraction form
    522,040.48/783,328.56 = 255,796/x
  3. Step 3: Cross multiply
    522,040.48x = 783,328.56 × 255,796
  4. Step 4: Simplify right side
    522,040.48x = 200,372,312,333.76
  5. Step 5: Solve for x
    x = 200,372,312,333.76/522,040.48
  6. Step 6: Final answer
    x = 383,825.24

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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.