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Finding the Fourth Proportional to 418,228.38, 576,859.59 and 257,174.46

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Solution

The fourth proportional to 418,228.38, 576,859.59 and 257,174.46 is: 354,719.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,228.38 : 576,859.59 = 257,174.46 : x
  2. Step 2: Convert to fraction form
    418,228.38/576,859.59 = 257,174.46/x
  3. Step 3: Cross multiply
    418,228.38x = 576,859.59 × 257,174.46
  4. Step 4: Simplify right side
    418,228.38x = 148,353,553,554.07
  5. Step 5: Solve for x
    x = 148,353,553,554.07/418,228.38
  6. Step 6: Final answer
    x = 354,719.00

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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.