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Finding the Fourth Proportional to 415,810.40, 623,278.20 and 162,993.20

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Solution

The fourth proportional to 415,810.40, 623,278.20 and 162,993.20 is: 244,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,810.40 : 623,278.20 = 162,993.20 : x
  2. Step 2: Convert to fraction form
    415,810.40/623,278.20 = 162,993.20/x
  3. Step 3: Cross multiply
    415,810.40x = 623,278.20 × 162,993.20
  4. Step 4: Simplify right side
    415,810.40x = 101,590,108,308.24
  5. Step 5: Solve for x
    x = 101,590,108,308.24/415,810.40
  6. Step 6: Final answer
    x = 244,318.34

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1.5x scale

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.