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Finding the Fourth Proportional to 446,398.83, 616,270.29 and 344,200.32

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Solution

The fourth proportional to 446,398.83, 616,270.29 and 344,200.32 is: 475,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,398.83 : 616,270.29 = 344,200.32 : x
  2. Step 2: Convert to fraction form
    446,398.83/616,270.29 = 344,200.32/x
  3. Step 3: Cross multiply
    446,398.83x = 616,270.29 × 344,200.32
  4. Step 4: Simplify right side
    446,398.83x = 212,120,431,024.49
  5. Step 5: Solve for x
    x = 212,120,431,024.49/446,398.83
  6. Step 6: Final answer
    x = 475,181.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.