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Finding the Fourth Proportional to 462,120.18, 637,662.74 and 258,145.88

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Solution

The fourth proportional to 462,120.18, 637,662.74 and 258,145.88 is: 356,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,120.18 : 637,662.74 = 258,145.88 : x
  2. Step 2: Convert to fraction form
    462,120.18/637,662.74 = 258,145.88/x
  3. Step 3: Cross multiply
    462,120.18x = 637,662.74 × 258,145.88
  4. Step 4: Simplify right side
    462,120.18x = 164,610,005,972.20
  5. Step 5: Solve for x
    x = 164,610,005,972.20/462,120.18
  6. Step 6: Final answer
    x = 356,206.06

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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.