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Finding the Fourth Proportional to 511,872.60, 767,808.84 and 174,916.16

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Solution

The fourth proportional to 511,872.60, 767,808.84 and 174,916.16 is: 262,374.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,872.60 : 767,808.84 = 174,916.16 : x
  2. Step 2: Convert to fraction form
    511,872.60/767,808.84 = 174,916.16/x
  3. Step 3: Cross multiply
    511,872.60x = 767,808.84 × 174,916.16
  4. Step 4: Simplify right side
    511,872.60x = 134,302,170,067.81
  5. Step 5: Solve for x
    x = 134,302,170,067.81/511,872.60
  6. Step 6: Final answer
    x = 262,374.21

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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.