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Finding the Fourth Proportional to 537,520.40, 806,779.06 and 271,467.60

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Solution

The fourth proportional to 537,520.40, 806,779.06 and 271,467.60 is: 407,453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,520.40 : 806,779.06 = 271,467.60 : x
  2. Step 2: Convert to fraction form
    537,520.40/806,779.06 = 271,467.60/x
  3. Step 3: Cross multiply
    537,520.40x = 806,779.06 × 271,467.60
  4. Step 4: Simplify right side
    537,520.40x = 219,014,376,746.00
  5. Step 5: Solve for x
    x = 219,014,376,746.00/537,520.40
  6. Step 6: Final answer
    x = 407,453.14

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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.