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Finding the Fourth Proportional to 288,519.80, 432,779.70 and 284,583.20

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Solution

The fourth proportional to 288,519.80, 432,779.70 and 284,583.20 is: 426,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,519.80 : 432,779.70 = 284,583.20 : x
  2. Step 2: Convert to fraction form
    288,519.80/432,779.70 = 284,583.20/x
  3. Step 3: Cross multiply
    288,519.80x = 432,779.70 × 284,583.20
  4. Step 4: Simplify right side
    288,519.80x = 123,161,831,921.04
  5. Step 5: Solve for x
    x = 123,161,831,921.04/288,519.80
  6. Step 6: Final answer
    x = 426,874.80

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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.