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Finding the Fourth Proportional to 552,282.88, 827,095.64 and 314,905.92

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Solution

The fourth proportional to 552,282.88, 827,095.64 and 314,905.92 is: 471,601.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,282.88 : 827,095.64 = 314,905.92 : x
  2. Step 2: Convert to fraction form
    552,282.88/827,095.64 = 314,905.92/x
  3. Step 3: Cross multiply
    552,282.88x = 827,095.64 × 314,905.92
  4. Step 4: Simplify right side
    552,282.88x = 260,457,313,442.19
  5. Step 5: Solve for x
    x = 260,457,313,442.19/552,282.88
  6. Step 6: Final answer
    x = 471,601.28

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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.