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Finding the Fourth Proportional to 297,950.52, 446,830.98 and 98,233.68

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Solution

The fourth proportional to 297,950.52, 446,830.98 and 98,233.68 is: 147,319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,950.52 : 446,830.98 = 98,233.68 : x
  2. Step 2: Convert to fraction form
    297,950.52/446,830.98 = 98,233.68/x
  3. Step 3: Cross multiply
    297,950.52x = 446,830.98 × 98,233.68
  4. Step 4: Simplify right side
    297,950.52x = 43,893,851,503.41
  5. Step 5: Solve for x
    x = 43,893,851,503.41/297,950.52
  6. Step 6: Final answer
    x = 147,319.26

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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.