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Finding the Fourth Proportional to 292,032.80, 438,049.20 and 275,703.20

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Solution

The fourth proportional to 292,032.80, 438,049.20 and 275,703.20 is: 413,554.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,032.80 : 438,049.20 = 275,703.20 : x
  2. Step 2: Convert to fraction form
    292,032.80/438,049.20 = 275,703.20/x
  3. Step 3: Cross multiply
    292,032.80x = 438,049.20 × 275,703.20
  4. Step 4: Simplify right side
    292,032.80x = 120,771,566,197.44
  5. Step 5: Solve for x
    x = 120,771,566,197.44/292,032.80
  6. Step 6: Final answer
    x = 413,554.80

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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.