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Finding the Fourth Proportional to 329,802.40, 494,703.60 and 189,834.40

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Solution

The fourth proportional to 329,802.40, 494,703.60 and 189,834.40 is: 284,751.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,802.40 : 494,703.60 = 189,834.40 : x
  2. Step 2: Convert to fraction form
    329,802.40/494,703.60 = 189,834.40/x
  3. Step 3: Cross multiply
    329,802.40x = 494,703.60 × 189,834.40
  4. Step 4: Simplify right side
    329,802.40x = 93,911,761,083.84
  5. Step 5: Solve for x
    x = 93,911,761,083.84/329,802.40
  6. Step 6: Final answer
    x = 284,751.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.