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Finding the Fourth Proportional to 562,409.82, 843,702.71 and 183,242.54

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Solution

The fourth proportional to 562,409.82, 843,702.71 and 183,242.54 is: 274,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,409.82 : 843,702.71 = 183,242.54 : x
  2. Step 2: Convert to fraction form
    562,409.82/843,702.71 = 183,242.54/x
  3. Step 3: Cross multiply
    562,409.82x = 843,702.71 × 183,242.54
  4. Step 4: Simplify right side
    562,409.82x = 154,602,222,450.56
  5. Step 5: Solve for x
    x = 154,602,222,450.56/562,409.82
  6. Step 6: Final answer
    x = 274,892.47

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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.