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Finding the Fourth Proportional to 552,188.25, 827,838.29 and 312,154.07

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Solution

The fourth proportional to 552,188.25, 827,838.29 and 312,154.07 is: 467,980.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,188.25 : 827,838.29 = 312,154.07 : x
  2. Step 2: Convert to fraction form
    552,188.25/827,838.29 = 312,154.07/x
  3. Step 3: Cross multiply
    552,188.25x = 827,838.29 × 312,154.07
  4. Step 4: Simplify right side
    552,188.25x = 258,413,088,166.53
  5. Step 5: Solve for x
    x = 258,413,088,166.53/552,188.25
  6. Step 6: Final answer
    x = 467,980.06

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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.