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Finding the Fourth Proportional to 462,218.04, 637,796.88 and 258,243.30

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Solution

The fourth proportional to 462,218.04, 637,796.88 and 258,243.30 is: 356,339.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,218.04 : 637,796.88 = 258,243.30 : x
  2. Step 2: Convert to fraction form
    462,218.04/637,796.88 = 258,243.30/x
  3. Step 3: Cross multiply
    462,218.04x = 637,796.88 × 258,243.30
  4. Step 4: Simplify right side
    462,218.04x = 164,706,771,020.90
  5. Step 5: Solve for x
    x = 164,706,771,020.90/462,218.04
  6. Step 6: Final answer
    x = 356,339.99

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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.