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Finding the Fourth Proportional to 481,530.24, 663,881.62 and 414,269.74

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Solution

The fourth proportional to 481,530.24, 663,881.62 and 414,269.74 is: 571,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,530.24 : 663,881.62 = 414,269.74 : x
  2. Step 2: Convert to fraction form
    481,530.24/663,881.62 = 414,269.74/x
  3. Step 3: Cross multiply
    481,530.24x = 663,881.62 × 414,269.74
  4. Step 4: Simplify right side
    481,530.24x = 275,026,066,679.11
  5. Step 5: Solve for x
    x = 275,026,066,679.11/481,530.24
  6. Step 6: Final answer
    x = 571,150.14

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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.