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Finding the Fourth Proportional to 466,098.30, 643,265.01 and 284,916.28

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Solution

The fourth proportional to 466,098.30, 643,265.01 and 284,916.28 is: 393,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,098.30 : 643,265.01 = 284,916.28 : x
  2. Step 2: Convert to fraction form
    466,098.30/643,265.01 = 284,916.28/x
  3. Step 3: Cross multiply
    466,098.30x = 643,265.01 × 284,916.28
  4. Step 4: Simplify right side
    466,098.30x = 183,276,673,703.36
  5. Step 5: Solve for x
    x = 183,276,673,703.36/466,098.30
  6. Step 6: Final answer
    x = 393,214.64

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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.