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Finding the Fourth Proportional to 392,681.40, 589,022.10 and 193,032.60

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Solution

The fourth proportional to 392,681.40, 589,022.10 and 193,032.60 is: 289,548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,681.40 : 589,022.10 = 193,032.60 : x
  2. Step 2: Convert to fraction form
    392,681.40/589,022.10 = 193,032.60/x
  3. Step 3: Cross multiply
    392,681.40x = 589,022.10 × 193,032.60
  4. Step 4: Simplify right side
    392,681.40x = 113,700,467,420.46
  5. Step 5: Solve for x
    x = 113,700,467,420.46/392,681.40
  6. Step 6: Final answer
    x = 289,548.90

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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.