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Finding the Fourth Proportional to 512,241.28, 706,893.86 and 282,798.94

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Solution

The fourth proportional to 512,241.28, 706,893.86 and 282,798.94 is: 390,263.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,241.28 : 706,893.86 = 282,798.94 : x
  2. Step 2: Convert to fraction form
    512,241.28/706,893.86 = 282,798.94/x
  3. Step 3: Cross multiply
    512,241.28x = 706,893.86 × 282,798.94
  4. Step 4: Simplify right side
    512,241.28x = 199,908,831,119.28
  5. Step 5: Solve for x
    x = 199,908,831,119.28/512,241.28
  6. Step 6: Final answer
    x = 390,263.03

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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.