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Finding the Fourth Proportional to 329,842.48, 494,810.89 and 105,205.47

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Solution

The fourth proportional to 329,842.48, 494,810.89 and 105,205.47 is: 157,823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,842.48 : 494,810.89 = 105,205.47 : x
  2. Step 2: Convert to fraction form
    329,842.48/494,810.89 = 105,205.47/x
  3. Step 3: Cross multiply
    329,842.48x = 494,810.89 × 105,205.47
  4. Step 4: Simplify right side
    329,842.48x = 52,056,811,052.78
  5. Step 5: Solve for x
    x = 52,056,811,052.78/329,842.48
  6. Step 6: Final answer
    x = 157,823.25

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1.5x scale

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.