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Finding the Fourth Proportional to 463,802.20, 696,548.10 and 405,741.40

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Solution

The fourth proportional to 463,802.20, 696,548.10 and 405,741.40 is: 609,351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,802.20 : 696,548.10 = 405,741.40 : x
  2. Step 2: Convert to fraction form
    463,802.20/696,548.10 = 405,741.40/x
  3. Step 3: Cross multiply
    463,802.20x = 696,548.10 × 405,741.40
  4. Step 4: Simplify right side
    463,802.20x = 282,618,401,261.34
  5. Step 5: Solve for x
    x = 282,618,401,261.34/463,802.20
  6. Step 6: Final answer
    x = 609,351.14

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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.