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Finding the Fourth Proportional to 511,669.42, 767,762.92 and 341,007.58

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Solution

The fourth proportional to 511,669.42, 767,762.92 and 341,007.58 is: 511,683.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,669.42 : 767,762.92 = 341,007.58 : x
  2. Step 2: Convert to fraction form
    511,669.42/767,762.92 = 341,007.58/x
  3. Step 3: Cross multiply
    511,669.42x = 767,762.92 × 341,007.58
  4. Step 4: Simplify right side
    511,669.42x = 261,812,976,748.90
  5. Step 5: Solve for x
    x = 261,812,976,748.90/511,669.42
  6. Step 6: Final answer
    x = 511,683.85

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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.