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Finding the Fourth Proportional to 675,832.44, 932,548.40 and 410,480

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Solution

The fourth proportional to 675,832.44, 932,548.40 and 410,480 is: 566,401.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,832.44 : 932,548.40 = 410,480 : x
  2. Step 2: Convert to fraction form
    675,832.44/932,548.40 = 410,480/x
  3. Step 3: Cross multiply
    675,832.44x = 932,548.40 × 410,480
  4. Step 4: Simplify right side
    675,832.44x = 382,792,467,232
  5. Step 5: Solve for x
    x = 382,792,467,232/675,832.44
  6. Step 6: Final answer
    x = 566,401.44

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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.