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Finding the Fourth Proportional to 522,495.40, 783,743.10 and 322,166.20

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Solution

The fourth proportional to 522,495.40, 783,743.10 and 322,166.20 is: 483,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,495.40 : 783,743.10 = 322,166.20 : x
  2. Step 2: Convert to fraction form
    522,495.40/783,743.10 = 322,166.20/x
  3. Step 3: Cross multiply
    522,495.40x = 783,743.10 × 322,166.20
  4. Step 4: Simplify right side
    522,495.40x = 252,495,536,303.22
  5. Step 5: Solve for x
    x = 252,495,536,303.22/522,495.40
  6. Step 6: Final answer
    x = 483,249.30

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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.