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Finding the Fourth Proportional to 462,034.02, 637,609.16 and 258,093.52

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Solution

The fourth proportional to 462,034.02, 637,609.16 and 258,093.52 is: 356,170.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,034.02 : 637,609.16 = 258,093.52 : x
  2. Step 2: Convert to fraction form
    462,034.02/637,609.16 = 258,093.52/x
  3. Step 3: Cross multiply
    462,034.02x = 637,609.16 × 258,093.52
  4. Step 4: Simplify right side
    462,034.02x = 164,562,792,488.64
  5. Step 5: Solve for x
    x = 164,562,792,488.64/462,034.02
  6. Step 6: Final answer
    x = 356,170.29

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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.