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Finding the Fourth Proportional to 392,713.50, 589,070.26 and 97,225.50

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Solution

The fourth proportional to 392,713.50, 589,070.26 and 97,225.50 is: 145,838.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,713.50 : 589,070.26 = 97,225.50 : x
  2. Step 2: Convert to fraction form
    392,713.50/589,070.26 = 97,225.50/x
  3. Step 3: Cross multiply
    392,713.50x = 589,070.26 × 97,225.50
  4. Step 4: Simplify right side
    392,713.50x = 57,272,650,563.63
  5. Step 5: Solve for x
    x = 57,272,650,563.63/392,713.50
  6. Step 6: Final answer
    x = 145,838.25

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