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Finding the Fourth Proportional to 978,666.80, 1,468,000.24 and 829,367.60

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Solution

The fourth proportional to 978,666.80, 1,468,000.24 and 829,367.60 is: 1,244,051.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,666.80 : 1,468,000.24 = 829,367.60 : x
  2. Step 2: Convert to fraction form
    978,666.80/1,468,000.24 = 829,367.60/x
  3. Step 3: Cross multiply
    978,666.80x = 1,468,000.24 × 829,367.60
  4. Step 4: Simplify right side
    978,666.80x = 1,217,511,835,848.22
  5. Step 5: Solve for x
    x = 1,217,511,835,848.22/978,666.80
  6. Step 6: Final answer
    x = 1,244,051.43

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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.