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Finding the Fourth Proportional to 462,023.46, 637,585.47 and 258,078.06

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Solution

The fourth proportional to 462,023.46, 637,585.47 and 258,078.06 is: 356,143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,023.46 : 637,585.47 = 258,078.06 : x
  2. Step 2: Convert to fraction form
    462,023.46/637,585.47 = 258,078.06/x
  3. Step 3: Cross multiply
    462,023.46x = 637,585.47 × 258,078.06
  4. Step 4: Simplify right side
    462,023.46x = 164,546,821,181.79
  5. Step 5: Solve for x
    x = 164,546,821,181.79/462,023.46
  6. Step 6: Final answer
    x = 356,143.87

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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.