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Finding the Fourth Proportional to 497,324.25, 686,307.47 and 270,969.75

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Solution

The fourth proportional to 497,324.25, 686,307.47 and 270,969.75 is: 373,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,324.25 : 686,307.47 = 270,969.75 : x
  2. Step 2: Convert to fraction form
    497,324.25/686,307.47 = 270,969.75/x
  3. Step 3: Cross multiply
    497,324.25x = 686,307.47 × 270,969.75
  4. Step 4: Simplify right side
    497,324.25x = 185,968,562,214.18
  5. Step 5: Solve for x
    x = 185,968,562,214.18/497,324.25
  6. Step 6: Final answer
    x = 373,938.26

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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.