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Finding the Fourth Proportional to 585,253.22, 807,735.20 and 343,668.06

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Solution

The fourth proportional to 585,253.22, 807,735.20 and 343,668.06 is: 474,312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,253.22 : 807,735.20 = 343,668.06 : x
  2. Step 2: Convert to fraction form
    585,253.22/807,735.20 = 343,668.06/x
  3. Step 3: Cross multiply
    585,253.22x = 807,735.20 × 343,668.06
  4. Step 4: Simplify right side
    585,253.22x = 277,592,787,459.37
  5. Step 5: Solve for x
    x = 277,592,787,459.37/585,253.22
  6. Step 6: Final answer
    x = 474,312.28

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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.