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Finding the Fourth Proportional to 978,205.30, 1,467,307.95 and 978,205.30

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Solution

The fourth proportional to 978,205.30, 1,467,307.95 and 978,205.30 is: 1,467,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,205.30 : 1,467,307.95 = 978,205.30 : x
  2. Step 2: Convert to fraction form
    978,205.30/1,467,307.95 = 978,205.30/x
  3. Step 3: Cross multiply
    978,205.30x = 1,467,307.95 × 978,205.30
  4. Step 4: Simplify right side
    978,205.30x = 1,435,328,413,422.14
  5. Step 5: Solve for x
    x = 1,435,328,413,422.14/978,205.30
  6. Step 6: Final answer
    x = 1,467,307.95

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1.5x scale

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.