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Finding the Fourth Proportional to 651,648.80, 977,546.10 and 202,366.10

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Solution

The fourth proportional to 651,648.80, 977,546.10 and 202,366.10 is: 303,571.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,648.80 : 977,546.10 = 202,366.10 : x
  2. Step 2: Convert to fraction form
    651,648.80/977,546.10 = 202,366.10/x
  3. Step 3: Cross multiply
    651,648.80x = 977,546.10 × 202,366.10
  4. Step 4: Simplify right side
    651,648.80x = 197,822,191,827.21
  5. Step 5: Solve for x
    x = 197,822,191,827.21/651,648.80
  6. Step 6: Final answer
    x = 303,571.79

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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.