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Finding the Fourth Proportional to 585,530.37, 808,038.18 and 343,815.84

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Solution

The fourth proportional to 585,530.37, 808,038.18 and 343,815.84 is: 474,469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,530.37 : 808,038.18 = 343,815.84 : x
  2. Step 2: Convert to fraction form
    585,530.37/808,038.18 = 343,815.84/x
  3. Step 3: Cross multiply
    585,530.37x = 808,038.18 × 343,815.84
  4. Step 4: Simplify right side
    585,530.37x = 277,816,325,608.77
  5. Step 5: Solve for x
    x = 277,816,325,608.77/585,530.37
  6. Step 6: Final answer
    x = 474,469.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.