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Finding the Fourth Proportional to 523,339.20, 783,453.60 and 346,046.40

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Solution

The fourth proportional to 523,339.20, 783,453.60 and 346,046.40 is: 518,041.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,339.20 : 783,453.60 = 346,046.40 : x
  2. Step 2: Convert to fraction form
    523,339.20/783,453.60 = 346,046.40/x
  3. Step 3: Cross multiply
    523,339.20x = 783,453.60 × 346,046.40
  4. Step 4: Simplify right side
    523,339.20x = 271,111,297,847.04
  5. Step 5: Solve for x
    x = 271,111,297,847.04/523,339.20
  6. Step 6: Final answer
    x = 518,041.26

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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.