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Finding the Fourth Proportional to 462,181.56, 637,747.50 and 258,207.48

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Solution

The fourth proportional to 462,181.56, 637,747.50 and 258,207.48 is: 356,291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,181.56 : 637,747.50 = 258,207.48 : x
  2. Step 2: Convert to fraction form
    462,181.56/637,747.50 = 258,207.48/x
  3. Step 3: Cross multiply
    462,181.56x = 637,747.50 × 258,207.48
  4. Step 4: Simplify right side
    462,181.56x = 164,671,174,851.30
  5. Step 5: Solve for x
    x = 164,671,174,851.30/462,181.56
  6. Step 6: Final answer
    x = 356,291.10

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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.