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Finding the Fourth Proportional to 477,088.90, 715,361.19 and 196,271.62

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Solution

The fourth proportional to 477,088.90, 715,361.19 and 196,271.62 is: 294,295.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,088.90 : 715,361.19 = 196,271.62 : x
  2. Step 2: Convert to fraction form
    477,088.90/715,361.19 = 196,271.62/x
  3. Step 3: Cross multiply
    477,088.90x = 715,361.19 × 196,271.62
  4. Step 4: Simplify right side
    477,088.90x = 140,405,099,646.43
  5. Step 5: Solve for x
    x = 140,405,099,646.43/477,088.90
  6. Step 6: Final answer
    x = 294,295.46

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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.