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Finding the Fourth Proportional to 4,978,497.42, 7,468,323.66 and 1,739,032.02

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Solution

The fourth proportional to 4,978,497.42, 7,468,323.66 and 1,739,032.02 is: 2,608,749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978,497.42 : 7,468,323.66 = 1,739,032.02 : x
  2. Step 2: Convert to fraction form
    4,978,497.42/7,468,323.66 = 1,739,032.02/x
  3. Step 3: Cross multiply
    4,978,497.42x = 7,468,323.66 × 1,739,032.02
  4. Step 4: Simplify right side
    4,978,497.42x = 12,987,653,980,463.59
  5. Step 5: Solve for x
    x = 12,987,653,980,463.59/4,978,497.42
  6. Step 6: Final answer
    x = 2,608,749.77

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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.