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Finding the Fourth Proportional to 418,712.42, 577,576.59 and 263,416.29

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Solution

The fourth proportional to 418,712.42, 577,576.59 and 263,416.29 is: 363,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,712.42 : 577,576.59 = 263,416.29 : x
  2. Step 2: Convert to fraction form
    418,712.42/577,576.59 = 263,416.29/x
  3. Step 3: Cross multiply
    418,712.42x = 577,576.59 × 263,416.29
  4. Step 4: Simplify right side
    418,712.42x = 152,143,082,528.65
  5. Step 5: Solve for x
    x = 152,143,082,528.65/418,712.42
  6. Step 6: Final answer
    x = 363,359.38

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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.