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Finding the Fourth Proportional to 462,076.16, 637,602.12 and 258,101.12

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Solution

The fourth proportional to 462,076.16, 637,602.12 and 258,101.12 is: 356,144.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,076.16 : 637,602.12 = 258,101.12 : x
  2. Step 2: Convert to fraction form
    462,076.16/637,602.12 = 258,101.12/x
  3. Step 3: Cross multiply
    462,076.16x = 637,602.12 × 258,101.12
  4. Step 4: Simplify right side
    462,076.16x = 164,565,821,286.37
  5. Step 5: Solve for x
    x = 164,565,821,286.37/462,076.16
  6. Step 6: Final answer
    x = 356,144.37

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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.