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Finding the Fourth Proportional to 427,465.32, 589,884.42 and 233,872.08

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Solution

The fourth proportional to 427,465.32, 589,884.42 and 233,872.08 is: 322,733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,465.32 : 589,884.42 = 233,872.08 : x
  2. Step 2: Convert to fraction form
    427,465.32/589,884.42 = 233,872.08/x
  3. Step 3: Cross multiply
    427,465.32x = 589,884.42 × 233,872.08
  4. Step 4: Simplify right side
    427,465.32x = 137,957,496,264.99
  5. Step 5: Solve for x
    x = 137,957,496,264.99/427,465.32
  6. Step 6: Final answer
    x = 322,733.77

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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.