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Finding the Fourth Proportional to 477,333.48, 715,553.10 and 161,569.32

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Solution

The fourth proportional to 477,333.48, 715,553.10 and 161,569.32 is: 242,202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,333.48 : 715,553.10 = 161,569.32 : x
  2. Step 2: Convert to fraction form
    477,333.48/715,553.10 = 161,569.32/x
  3. Step 3: Cross multiply
    477,333.48x = 715,553.10 × 161,569.32
  4. Step 4: Simplify right side
    477,333.48x = 115,611,427,790.89
  5. Step 5: Solve for x
    x = 115,611,427,790.89/477,333.48
  6. Step 6: Final answer
    x = 242,202.64

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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.