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Finding the Fourth Proportional to 341,290.50, 511,537.14 and 256,779.15

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Solution

The fourth proportional to 341,290.50, 511,537.14 and 256,779.15 is: 384,868.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,290.50 : 511,537.14 = 256,779.15 : x
  2. Step 2: Convert to fraction form
    341,290.50/511,537.14 = 256,779.15/x
  3. Step 3: Cross multiply
    341,290.50x = 511,537.14 × 256,779.15
  4. Step 4: Simplify right side
    341,290.50x = 131,352,072,002.63
  5. Step 5: Solve for x
    x = 131,352,072,002.63/341,290.50
  6. Step 6: Final answer
    x = 384,868.82

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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.