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Finding the Fourth Proportional to 460,165.20, 690,271.20 and 144,625.20

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Solution

The fourth proportional to 460,165.20, 690,271.20 and 144,625.20 is: 216,945.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,165.20 : 690,271.20 = 144,625.20 : x
  2. Step 2: Convert to fraction form
    460,165.20/690,271.20 = 144,625.20/x
  3. Step 3: Cross multiply
    460,165.20x = 690,271.20 × 144,625.20
  4. Step 4: Simplify right side
    460,165.20x = 99,830,610,354.24
  5. Step 5: Solve for x
    x = 99,830,610,354.24/460,165.20
  6. Step 6: Final answer
    x = 216,945.15

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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.