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Finding the Fourth Proportional to 6,468,978.60, 9,703,467.90 and 4,768,367.40

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Solution

The fourth proportional to 6,468,978.60, 9,703,467.90 and 4,768,367.40 is: 7,152,551.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468,978.60 : 9,703,467.90 = 4,768,367.40 : x
  2. Step 2: Convert to fraction form
    6,468,978.60/9,703,467.90 = 4,768,367.40/x
  3. Step 3: Cross multiply
    6,468,978.60x = 9,703,467.90 × 4,768,367.40
  4. Step 4: Simplify right side
    6,468,978.60x = 46,269,700,001,306.47
  5. Step 5: Solve for x
    x = 46,269,700,001,306.47/6,468,978.60
  6. Step 6: Final answer
    x = 7,152,551.10

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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.