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Finding the Fourth Proportional to 458,647.04, 633,232.69 and 297,960.05

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Solution

The fourth proportional to 458,647.04, 633,232.69 and 297,960.05 is: 411,379.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,647.04 : 633,232.69 = 297,960.05 : x
  2. Step 2: Convert to fraction form
    458,647.04/633,232.69 = 297,960.05/x
  3. Step 3: Cross multiply
    458,647.04x = 633,232.69 × 297,960.05
  4. Step 4: Simplify right side
    458,647.04x = 188,678,044,812.22
  5. Step 5: Solve for x
    x = 188,678,044,812.22/458,647.04
  6. Step 6: Final answer
    x = 411,379.62

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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.