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Finding the Fourth Proportional to 550,131.30, 824,212.80 and 465,494.40

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Solution

The fourth proportional to 550,131.30, 824,212.80 and 465,494.40 is: 697,408.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,131.30 : 824,212.80 = 465,494.40 : x
  2. Step 2: Convert to fraction form
    550,131.30/824,212.80 = 465,494.40/x
  3. Step 3: Cross multiply
    550,131.30x = 824,212.80 × 465,494.40
  4. Step 4: Simplify right side
    550,131.30x = 383,666,442,808.32
  5. Step 5: Solve for x
    x = 383,666,442,808.32/550,131.30
  6. Step 6: Final answer
    x = 697,408.86

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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.