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Finding the Fourth Proportional to 329,838.34, 454,942.25 and 302,702.06

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Solution

The fourth proportional to 329,838.34, 454,942.25 and 302,702.06 is: 417,513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,838.34 : 454,942.25 = 302,702.06 : x
  2. Step 2: Convert to fraction form
    329,838.34/454,942.25 = 302,702.06/x
  3. Step 3: Cross multiply
    329,838.34x = 454,942.25 × 302,702.06
  4. Step 4: Simplify right side
    329,838.34x = 137,711,956,256.04
  5. Step 5: Solve for x
    x = 137,711,956,256.04/329,838.34
  6. Step 6: Final answer
    x = 417,513.49

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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.