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Finding the Fourth Proportional to 297,421.40, 446,423.70 and 147,830.60

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Solution

The fourth proportional to 297,421.40, 446,423.70 and 147,830.60 is: 221,890.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,421.40 : 446,423.70 = 147,830.60 : x
  2. Step 2: Convert to fraction form
    297,421.40/446,423.70 = 147,830.60/x
  3. Step 3: Cross multiply
    297,421.40x = 446,423.70 × 147,830.60
  4. Step 4: Simplify right side
    297,421.40x = 65,995,083,425.22
  5. Step 5: Solve for x
    x = 65,995,083,425.22/297,421.40
  6. Step 6: Final answer
    x = 221,890.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.