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Finding the Fourth Proportional to 321,897.60, 482,846.40 and 144,410.40

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Solution

The fourth proportional to 321,897.60, 482,846.40 and 144,410.40 is: 216,615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,897.60 : 482,846.40 = 144,410.40 : x
  2. Step 2: Convert to fraction form
    321,897.60/482,846.40 = 144,410.40/x
  3. Step 3: Cross multiply
    321,897.60x = 482,846.40 × 144,410.40
  4. Step 4: Simplify right side
    321,897.60x = 69,728,041,762.56
  5. Step 5: Solve for x
    x = 69,728,041,762.56/321,897.60
  6. Step 6: Final answer
    x = 216,615.60

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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.