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Finding the Fourth Proportional to 652,196.40, 978,467.40 and 231,428.40

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Solution

The fourth proportional to 652,196.40, 978,467.40 and 231,428.40 is: 347,203.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,196.40 : 978,467.40 = 231,428.40 : x
  2. Step 2: Convert to fraction form
    652,196.40/978,467.40 = 231,428.40/x
  3. Step 3: Cross multiply
    652,196.40x = 978,467.40 × 231,428.40
  4. Step 4: Simplify right side
    652,196.40x = 226,445,144,834.16
  5. Step 5: Solve for x
    x = 226,445,144,834.16/652,196.40
  6. Step 6: Final answer
    x = 347,203.92

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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.