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Finding the Fourth Proportional to 374,784.56, 517,202.52 and 205,018.64

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Solution

The fourth proportional to 374,784.56, 517,202.52 and 205,018.64 is: 282,925.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,784.56 : 517,202.52 = 205,018.64 : x
  2. Step 2: Convert to fraction form
    374,784.56/517,202.52 = 205,018.64/x
  3. Step 3: Cross multiply
    374,784.56x = 517,202.52 × 205,018.64
  4. Step 4: Simplify right side
    374,784.56x = 106,036,157,254.97
  5. Step 5: Solve for x
    x = 106,036,157,254.97/374,784.56
  6. Step 6: Final answer
    x = 282,925.63

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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.