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Finding the Fourth Proportional to 383,201, 528,833.54 and 213,435.08

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Solution

The fourth proportional to 383,201, 528,833.54 and 213,435.08 is: 294,549.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,201 : 528,833.54 = 213,435.08 : x
  2. Step 2: Convert to fraction form
    383,201/528,833.54 = 213,435.08/x
  3. Step 3: Cross multiply
    383,201x = 528,833.54 × 213,435.08
  4. Step 4: Simplify right side
    383,201x = 112,871,628,916.58
  5. Step 5: Solve for x
    x = 112,871,628,916.58/383,201
  6. Step 6: Final answer
    x = 294,549.41

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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.