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Finding the Fourth Proportional to 411,785.02, 568,182.54 and 258,734.55

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Solution

The fourth proportional to 411,785.02, 568,182.54 and 258,734.55 is: 357,002.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,785.02 : 568,182.54 = 258,734.55 : x
  2. Step 2: Convert to fraction form
    411,785.02/568,182.54 = 258,734.55/x
  3. Step 3: Cross multiply
    411,785.02x = 568,182.54 × 258,734.55
  4. Step 4: Simplify right side
    411,785.02x = 147,008,453,804.76
  5. Step 5: Solve for x
    x = 147,008,453,804.76/411,785.02
  6. Step 6: Final answer
    x = 357,002.92

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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.