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Finding the Fourth Proportional to 648,003.80, 972,005.70 and 408,855.35

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Solution

The fourth proportional to 648,003.80, 972,005.70 and 408,855.35 is: 613,283.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,003.80 : 972,005.70 = 408,855.35 : x
  2. Step 2: Convert to fraction form
    648,003.80/972,005.70 = 408,855.35/x
  3. Step 3: Cross multiply
    648,003.80x = 972,005.70 × 408,855.35
  4. Step 4: Simplify right side
    648,003.80x = 397,409,730,675.50
  5. Step 5: Solve for x
    x = 397,409,730,675.50/648,003.80
  6. Step 6: Final answer
    x = 613,283.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.