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Finding the Fourth Proportional to 392,712.50, 589,068.76 and 97,224.50

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Solution

The fourth proportional to 392,712.50, 589,068.76 and 97,224.50 is: 145,836.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,712.50 : 589,068.76 = 97,224.50 : x
  2. Step 2: Convert to fraction form
    392,712.50/589,068.76 = 97,224.50/x
  3. Step 3: Cross multiply
    392,712.50x = 589,068.76 × 97,224.50
  4. Step 4: Simplify right side
    392,712.50x = 57,271,915,656.62
  5. Step 5: Solve for x
    x = 57,271,915,656.62/392,712.50
  6. Step 6: Final answer
    x = 145,836.75

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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.