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Finding the Fourth Proportional to 329,783.40, 494,804.70 and 130,069.80

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Solution

The fourth proportional to 329,783.40, 494,804.70 and 130,069.80 is: 195,155.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,783.40 : 494,804.70 = 130,069.80 : x
  2. Step 2: Convert to fraction form
    329,783.40/494,804.70 = 130,069.80/x
  3. Step 3: Cross multiply
    329,783.40x = 494,804.70 × 130,069.80
  4. Step 4: Simplify right side
    329,783.40x = 64,359,148,368.06
  5. Step 5: Solve for x
    x = 64,359,148,368.06/329,783.40
  6. Step 6: Final answer
    x = 195,155.82

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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.