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Finding the Fourth Proportional to 297,683.80, 446,525.70 and 185,709.40

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Solution

The fourth proportional to 297,683.80, 446,525.70 and 185,709.40 is: 278,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,683.80 : 446,525.70 = 185,709.40 : x
  2. Step 2: Convert to fraction form
    297,683.80/446,525.70 = 185,709.40/x
  3. Step 3: Cross multiply
    297,683.80x = 446,525.70 × 185,709.40
  4. Step 4: Simplify right side
    297,683.80x = 82,924,019,831.58
  5. Step 5: Solve for x
    x = 82,924,019,831.58/297,683.80
  6. Step 6: Final answer
    x = 278,564.10

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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.