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Finding the Fourth Proportional to 701,004, 967,227.12 and 414,536.16

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Solution

The fourth proportional to 701,004, 967,227.12 and 414,536.16 is: 571,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,004 : 967,227.12 = 414,536.16 : x
  2. Step 2: Convert to fraction form
    701,004/967,227.12 = 414,536.16/x
  3. Step 3: Cross multiply
    701,004x = 967,227.12 × 414,536.16
  4. Step 4: Simplify right side
    701,004x = 400,950,616,172.66
  5. Step 5: Solve for x
    x = 400,950,616,172.66/701,004
  6. Step 6: Final answer
    x = 571,966.23

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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.