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Finding the Fourth Proportional to 550,617.84, 824,597.55 and 313,240.86

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Solution

The fourth proportional to 550,617.84, 824,597.55 and 313,240.86 is: 469,105.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,617.84 : 824,597.55 = 313,240.86 : x
  2. Step 2: Convert to fraction form
    550,617.84/824,597.55 = 313,240.86/x
  3. Step 3: Cross multiply
    550,617.84x = 824,597.55 × 313,240.86
  4. Step 4: Simplify right side
    550,617.84x = 258,297,645,715.89
  5. Step 5: Solve for x
    x = 258,297,645,715.89/550,617.84
  6. Step 6: Final answer
    x = 469,105.12

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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.