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Finding the Fourth Proportional to 550,567.94, 824,523.30 and 313,190.96

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Solution

The fourth proportional to 550,567.94, 824,523.30 and 313,190.96 is: 469,030.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,567.94 : 824,523.30 = 313,190.96 : x
  2. Step 2: Convert to fraction form
    550,567.94/824,523.30 = 313,190.96/x
  3. Step 3: Cross multiply
    550,567.94x = 824,523.30 × 313,190.96
  4. Step 4: Simplify right side
    550,567.94x = 258,233,239,746.75
  5. Step 5: Solve for x
    x = 258,233,239,746.75/550,567.94
  6. Step 6: Final answer
    x = 469,030.66

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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.