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Finding the Fourth Proportional to 468,267.30, 645,970.71 and 284,457.04

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Solution

The fourth proportional to 468,267.30, 645,970.71 and 284,457.04 is: 392,406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,267.30 : 645,970.71 = 284,457.04 : x
  2. Step 2: Convert to fraction form
    468,267.30/645,970.71 = 284,457.04/x
  3. Step 3: Cross multiply
    468,267.30x = 645,970.71 × 284,457.04
  4. Step 4: Simplify right side
    468,267.30x = 183,750,916,093.30
  5. Step 5: Solve for x
    x = 183,750,916,093.30/468,267.30
  6. Step 6: Final answer
    x = 392,406.04

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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.