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Finding the Fourth Proportional to 477,825.84, 716,804.64 and 162,198

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Solution

The fourth proportional to 477,825.84, 716,804.64 and 162,198 is: 243,319.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,825.84 : 716,804.64 = 162,198 : x
  2. Step 2: Convert to fraction form
    477,825.84/716,804.64 = 162,198/x
  3. Step 3: Cross multiply
    477,825.84x = 716,804.64 × 162,198
  4. Step 4: Simplify right side
    477,825.84x = 116,264,278,998.72
  5. Step 5: Solve for x
    x = 116,264,278,998.72/477,825.84
  6. Step 6: Final answer
    x = 243,319.36

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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.