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Finding the Fourth Proportional to 348,051.60, 522,077.40 and 259,478.10

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Solution

The fourth proportional to 348,051.60, 522,077.40 and 259,478.10 is: 389,217.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,051.60 : 522,077.40 = 259,478.10 : x
  2. Step 2: Convert to fraction form
    348,051.60/522,077.40 = 259,478.10/x
  3. Step 3: Cross multiply
    348,051.60x = 522,077.40 × 259,478.10
  4. Step 4: Simplify right side
    348,051.60x = 135,467,651,804.94
  5. Step 5: Solve for x
    x = 135,467,651,804.94/348,051.60
  6. Step 6: Final answer
    x = 389,217.15

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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.