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Finding the Fourth Proportional to 340,024.62, 469,224.56 and 184,970.78

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Solution

The fourth proportional to 340,024.62, 469,224.56 and 184,970.78 is: 255,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,024.62 : 469,224.56 = 184,970.78 : x
  2. Step 2: Convert to fraction form
    340,024.62/469,224.56 = 184,970.78/x
  3. Step 3: Cross multiply
    340,024.62x = 469,224.56 × 184,970.78
  4. Step 4: Simplify right side
    340,024.62x = 86,792,829,587.38
  5. Step 5: Solve for x
    x = 86,792,829,587.38/340,024.62
  6. Step 6: Final answer
    x = 255,254.54

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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.