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Finding the Fourth Proportional to 297,511.32, 446,281.33 and 97,827.29

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Solution

The fourth proportional to 297,511.32, 446,281.33 and 97,827.29 is: 146,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,511.32 : 446,281.33 = 97,827.29 : x
  2. Step 2: Convert to fraction form
    297,511.32/446,281.33 = 97,827.29/x
  3. Step 3: Cross multiply
    297,511.32x = 446,281.33 × 97,827.29
  4. Step 4: Simplify right side
    297,511.32x = 43,658,490,615.52
  5. Step 5: Solve for x
    x = 43,658,490,615.52/297,511.32
  6. Step 6: Final answer
    x = 146,745.65

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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.