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Finding the Fourth Proportional to 298,783.02, 412,315.12 and 162,818.14

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Solution

The fourth proportional to 298,783.02, 412,315.12 and 162,818.14 is: 224,686.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,783.02 : 412,315.12 = 162,818.14 : x
  2. Step 2: Convert to fraction form
    298,783.02/412,315.12 = 162,818.14/x
  3. Step 3: Cross multiply
    298,783.02x = 412,315.12 × 162,818.14
  4. Step 4: Simplify right side
    298,783.02x = 67,132,380,932.28
  5. Step 5: Solve for x
    x = 67,132,380,932.28/298,783.02
  6. Step 6: Final answer
    x = 224,686.06

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1.5x scale

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.