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Finding the Fourth Proportional to 401,476.04, 552,646.34 and 347,003.40

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Solution

The fourth proportional to 401,476.04, 552,646.34 and 347,003.40 is: 477,662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,476.04 : 552,646.34 = 347,003.40 : x
  2. Step 2: Convert to fraction form
    401,476.04/552,646.34 = 347,003.40/x
  3. Step 3: Cross multiply
    401,476.04x = 552,646.34 × 347,003.40
  4. Step 4: Simplify right side
    401,476.04x = 191,770,158,977.56
  5. Step 5: Solve for x
    x = 191,770,158,977.56/401,476.04
  6. Step 6: Final answer
    x = 477,662.77

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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.