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Finding the Fourth Proportional to 978,205.80, 1,467,308.70 and 642,282.60

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Solution

The fourth proportional to 978,205.80, 1,467,308.70 and 642,282.60 is: 963,423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,205.80 : 1,467,308.70 = 642,282.60 : x
  2. Step 2: Convert to fraction form
    978,205.80/1,467,308.70 = 642,282.60/x
  3. Step 3: Cross multiply
    978,205.80x = 1,467,308.70 × 642,282.60
  4. Step 4: Simplify right side
    978,205.80x = 942,426,846,838.62
  5. Step 5: Solve for x
    x = 942,426,846,838.62/978,205.80
  6. Step 6: Final answer
    x = 963,423.90

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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.