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Finding the Fourth Proportional to 475,234.80, 712,852.20 and 295,463.40

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Solution

The fourth proportional to 475,234.80, 712,852.20 and 295,463.40 is: 443,195.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,234.80 : 712,852.20 = 295,463.40 : x
  2. Step 2: Convert to fraction form
    475,234.80/712,852.20 = 295,463.40/x
  3. Step 3: Cross multiply
    475,234.80x = 712,852.20 × 295,463.40
  4. Step 4: Simplify right side
    475,234.80x = 210,621,734,709.48
  5. Step 5: Solve for x
    x = 210,621,734,709.48/475,234.80
  6. Step 6: Final answer
    x = 443,195.10

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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.