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Finding the Fourth Proportional to 355,222.93, 490,036.74 and 258,276.55

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Solution

The fourth proportional to 355,222.93, 490,036.74 and 258,276.55 is: 356,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,222.93 : 490,036.74 = 258,276.55 : x
  2. Step 2: Convert to fraction form
    355,222.93/490,036.74 = 258,276.55/x
  3. Step 3: Cross multiply
    355,222.93x = 490,036.74 × 258,276.55
  4. Step 4: Simplify right side
    355,222.93x = 126,564,998,580.45
  5. Step 5: Solve for x
    x = 126,564,998,580.45/355,222.93
  6. Step 6: Final answer
    x = 356,297.38

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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.