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Finding the Fourth Proportional to 702,496.32, 968,786.94 and 466,332.54

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Solution

The fourth proportional to 702,496.32, 968,786.94 and 466,332.54 is: 643,102.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,496.32 : 968,786.94 = 466,332.54 : x
  2. Step 2: Convert to fraction form
    702,496.32/968,786.94 = 466,332.54/x
  3. Step 3: Cross multiply
    702,496.32x = 968,786.94 × 466,332.54
  4. Step 4: Simplify right side
    702,496.32x = 451,776,874,449.03
  5. Step 5: Solve for x
    x = 451,776,874,449.03/702,496.32
  6. Step 6: Final answer
    x = 643,102.12

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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.