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Finding the Fourth Proportional to 464,332.80, 640,916.16 and 303,213.04

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Solution

The fourth proportional to 464,332.80, 640,916.16 and 303,213.04 is: 418,523.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,332.80 : 640,916.16 = 303,213.04 : x
  2. Step 2: Convert to fraction form
    464,332.80/640,916.16 = 303,213.04/x
  3. Step 3: Cross multiply
    464,332.80x = 640,916.16 × 303,213.04
  4. Step 4: Simplify right side
    464,332.80x = 194,334,137,258.73
  5. Step 5: Solve for x
    x = 194,334,137,258.73/464,332.80
  6. Step 6: Final answer
    x = 418,523.39

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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.