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Finding the Fourth Proportional to 382,044.12, 570,261.63 and 353,895

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Solution

The fourth proportional to 382,044.12, 570,261.63 and 353,895 is: 528,244.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,044.12 : 570,261.63 = 353,895 : x
  2. Step 2: Convert to fraction form
    382,044.12/570,261.63 = 353,895/x
  3. Step 3: Cross multiply
    382,044.12x = 570,261.63 × 353,895
  4. Step 4: Simplify right side
    382,044.12x = 201,812,739,548.85
  5. Step 5: Solve for x
    x = 201,812,739,548.85/382,044.12
  6. Step 6: Final answer
    x = 528,244.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.