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Finding the Fourth Proportional to 329,106.10, 454,055.61 and 214,332.34

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Solution

The fourth proportional to 329,106.10, 454,055.61 and 214,332.34 is: 295,706.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,106.10 : 454,055.61 = 214,332.34 : x
  2. Step 2: Convert to fraction form
    329,106.10/454,055.61 = 214,332.34/x
  3. Step 3: Cross multiply
    329,106.10x = 454,055.61 × 214,332.34
  4. Step 4: Simplify right side
    329,106.10x = 97,318,801,381.43
  5. Step 5: Solve for x
    x = 97,318,801,381.43/329,106.10
  6. Step 6: Final answer
    x = 295,706.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.