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Finding the Fourth Proportional to 610,215.86, 842,433.06 and 416,914.22

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Solution

The fourth proportional to 610,215.86, 842,433.06 and 416,914.22 is: 575,570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,215.86 : 842,433.06 = 416,914.22 : x
  2. Step 2: Convert to fraction form
    610,215.86/842,433.06 = 416,914.22/x
  3. Step 3: Cross multiply
    610,215.86x = 842,433.06 × 416,914.22
  4. Step 4: Simplify right side
    610,215.86x = 351,222,325,781.62
  5. Step 5: Solve for x
    x = 351,222,325,781.62/610,215.86
  6. Step 6: Final answer
    x = 575,570.63

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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.