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Finding the Fourth Proportional to 343,801.09, 512,762.72 and 301,956.49

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Solution

The fourth proportional to 343,801.09, 512,762.72 and 301,956.49 is: 450,353.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,801.09 : 512,762.72 = 301,956.49 : x
  2. Step 2: Convert to fraction form
    343,801.09/512,762.72 = 301,956.49/x
  3. Step 3: Cross multiply
    343,801.09x = 512,762.72 × 301,956.49
  4. Step 4: Simplify right side
    343,801.09x = 154,832,031,134.05
  5. Step 5: Solve for x
    x = 154,832,031,134.05/343,801.09
  6. Step 6: Final answer
    x = 450,353.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.