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Finding the Fourth Proportional to 415,023.10, 622,534.65 and 415,023.10

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Solution

The fourth proportional to 415,023.10, 622,534.65 and 415,023.10 is: 622,534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,023.10 : 622,534.65 = 415,023.10 : x
  2. Step 2: Convert to fraction form
    415,023.10/622,534.65 = 415,023.10/x
  3. Step 3: Cross multiply
    415,023.10x = 622,534.65 × 415,023.10
  4. Step 4: Simplify right side
    415,023.10x = 258,366,260,300.42
  5. Step 5: Solve for x
    x = 258,366,260,300.42/415,023.10
  6. Step 6: Final answer
    x = 622,534.65

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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.