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Finding the Fourth Proportional to 401,097.07, 553,765.58 and 258,105.61

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Solution

The fourth proportional to 401,097.07, 553,765.58 and 258,105.61 is: 356,347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,097.07 : 553,765.58 = 258,105.61 : x
  2. Step 2: Convert to fraction form
    401,097.07/553,765.58 = 258,105.61/x
  3. Step 3: Cross multiply
    401,097.07x = 553,765.58 × 258,105.61
  4. Step 4: Simplify right side
    401,097.07x = 142,930,001,532.38
  5. Step 5: Solve for x
    x = 142,930,001,532.38/401,097.07
  6. Step 6: Final answer
    x = 356,347.66

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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.