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Finding the Fourth Proportional to 477,731.67, 716,708.25 and 162,188.58

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Solution

The fourth proportional to 477,731.67, 716,708.25 and 162,188.58 is: 243,320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,731.67 : 716,708.25 = 162,188.58 : x
  2. Step 2: Convert to fraction form
    477,731.67/716,708.25 = 162,188.58/x
  3. Step 3: Cross multiply
    477,731.67x = 716,708.25 × 162,188.58
  4. Step 4: Simplify right side
    477,731.67x = 116,241,891,997.96
  5. Step 5: Solve for x
    x = 116,241,891,997.96/477,731.67
  6. Step 6: Final answer
    x = 243,320.46

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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.