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Finding the Fourth Proportional to 411,909.12, 568,302.48 and 230,594.40

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Solution

The fourth proportional to 411,909.12, 568,302.48 and 230,594.40 is: 318,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,909.12 : 568,302.48 = 230,594.40 : x
  2. Step 2: Convert to fraction form
    411,909.12/568,302.48 = 230,594.40/x
  3. Step 3: Cross multiply
    411,909.12x = 568,302.48 × 230,594.40
  4. Step 4: Simplify right side
    411,909.12x = 131,047,369,394.11
  5. Step 5: Solve for x
    x = 131,047,369,394.11/411,909.12
  6. Step 6: Final answer
    x = 318,146.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.