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Finding the Fourth Proportional to 343,852.80, 515,779.20 and 269,203.20

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Solution

The fourth proportional to 343,852.80, 515,779.20 and 269,203.20 is: 403,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,852.80 : 515,779.20 = 269,203.20 : x
  2. Step 2: Convert to fraction form
    343,852.80/515,779.20 = 269,203.20/x
  3. Step 3: Cross multiply
    343,852.80x = 515,779.20 × 269,203.20
  4. Step 4: Simplify right side
    343,852.80x = 138,849,411,133.44
  5. Step 5: Solve for x
    x = 138,849,411,133.44/343,852.80
  6. Step 6: Final answer
    x = 403,804.80

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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.