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Finding the Fourth Proportional to 524,954.40, 786,848.40 and 288,466.80

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Solution

The fourth proportional to 524,954.40, 786,848.40 and 288,466.80 is: 432,379.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,954.40 : 786,848.40 = 288,466.80 : x
  2. Step 2: Convert to fraction form
    524,954.40/786,848.40 = 288,466.80/x
  3. Step 3: Cross multiply
    524,954.40x = 786,848.40 × 288,466.80
  4. Step 4: Simplify right side
    524,954.40x = 226,979,640,033.12
  5. Step 5: Solve for x
    x = 226,979,640,033.12/524,954.40
  6. Step 6: Final answer
    x = 432,379.73

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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.