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Finding the Fourth Proportional to 538,324.25, 742,883.81 and 296,601.21

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Solution

The fourth proportional to 538,324.25, 742,883.81 and 296,601.21 is: 409,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,324.25 : 742,883.81 = 296,601.21 : x
  2. Step 2: Convert to fraction form
    538,324.25/742,883.81 = 296,601.21/x
  3. Step 3: Cross multiply
    538,324.25x = 742,883.81 × 296,601.21
  4. Step 4: Simplify right side
    538,324.25x = 220,340,235,452.40
  5. Step 5: Solve for x
    x = 220,340,235,452.40/538,324.25
  6. Step 6: Final answer
    x = 409,307.66

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1.5x scale

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.