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Finding the Fourth Proportional to 469,694, 648,177.76 and 268,494.32

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Solution

The fourth proportional to 469,694, 648,177.76 and 268,494.32 is: 370,522.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,694 : 648,177.76 = 268,494.32 : x
  2. Step 2: Convert to fraction form
    469,694/648,177.76 = 268,494.32/x
  3. Step 3: Cross multiply
    469,694x = 648,177.76 × 268,494.32
  4. Step 4: Simplify right side
    469,694x = 174,032,046,910.32
  5. Step 5: Solve for x
    x = 174,032,046,910.32/469,694
  6. Step 6: Final answer
    x = 370,522.18

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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.