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Finding the Fourth Proportional to 383,232.96, 528,877.80 and 213,467.16

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Solution

The fourth proportional to 383,232.96, 528,877.80 and 213,467.16 is: 294,593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,232.96 : 528,877.80 = 213,467.16 : x
  2. Step 2: Convert to fraction form
    383,232.96/528,877.80 = 213,467.16/x
  3. Step 3: Cross multiply
    383,232.96x = 528,877.80 × 213,467.16
  4. Step 4: Simplify right side
    383,232.96x = 112,898,041,953.05
  5. Step 5: Solve for x
    x = 112,898,041,953.05/383,232.96
  6. Step 6: Final answer
    x = 294,593.77

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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.