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Finding the Fourth Proportional to 293,445.40, 440,168.10 and 213,741.40

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Solution

The fourth proportional to 293,445.40, 440,168.10 and 213,741.40 is: 320,612.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,445.40 : 440,168.10 = 213,741.40 : x
  2. Step 2: Convert to fraction form
    293,445.40/440,168.10 = 213,741.40/x
  3. Step 3: Cross multiply
    293,445.40x = 440,168.10 × 213,741.40
  4. Step 4: Simplify right side
    293,445.40x = 94,082,145,929.34
  5. Step 5: Solve for x
    x = 94,082,145,929.34/293,445.40
  6. Step 6: Final answer
    x = 320,612.10

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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.