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Finding the Fourth Proportional to 382,688.36, 528,174.66 and 221,641.32

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Solution

The fourth proportional to 382,688.36, 528,174.66 and 221,641.32 is: 305,902.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,688.36 : 528,174.66 = 221,641.32 : x
  2. Step 2: Convert to fraction form
    382,688.36/528,174.66 = 221,641.32/x
  3. Step 3: Cross multiply
    382,688.36x = 528,174.66 × 221,641.32
  4. Step 4: Simplify right side
    382,688.36x = 117,065,328,832.95
  5. Step 5: Solve for x
    x = 117,065,328,832.95/382,688.36
  6. Step 6: Final answer
    x = 305,902.51

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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.