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Finding the Fourth Proportional to 476,187.94, 657,168.90 and 314,763.04

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Solution

The fourth proportional to 476,187.94, 657,168.90 and 314,763.04 is: 434,392.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,187.94 : 657,168.90 = 314,763.04 : x
  2. Step 2: Convert to fraction form
    476,187.94/657,168.90 = 314,763.04/x
  3. Step 3: Cross multiply
    476,187.94x = 657,168.90 × 314,763.04
  4. Step 4: Simplify right side
    476,187.94x = 206,852,477,471.61
  5. Step 5: Solve for x
    x = 206,852,477,471.61/476,187.94
  6. Step 6: Final answer
    x = 434,392.52

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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.