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Finding the Fourth Proportional to 552,018.60, 827,444.70 and 314,850.60

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Solution

The fourth proportional to 552,018.60, 827,444.70 and 314,850.60 is: 471,943.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,018.60 : 827,444.70 = 314,850.60 : x
  2. Step 2: Convert to fraction form
    552,018.60/827,444.70 = 314,850.60/x
  3. Step 3: Cross multiply
    552,018.60x = 827,444.70 × 314,850.60
  4. Step 4: Simplify right side
    552,018.60x = 260,521,460,261.82
  5. Step 5: Solve for x
    x = 260,521,460,261.82/552,018.60
  6. Step 6: Final answer
    x = 471,943.26

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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.