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Finding the Fourth Proportional to 415,025.10, 622,537.65 and 415,025.10

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Solution

The fourth proportional to 415,025.10, 622,537.65 and 415,025.10 is: 622,537.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,025.10 : 622,537.65 = 415,025.10 : x
  2. Step 2: Convert to fraction form
    415,025.10/622,537.65 = 415,025.10/x
  3. Step 3: Cross multiply
    415,025.10x = 622,537.65 × 415,025.10
  4. Step 4: Simplify right side
    415,025.10x = 258,368,750,445.02
  5. Step 5: Solve for x
    x = 258,368,750,445.02/415,025.10
  6. Step 6: Final answer
    x = 622,537.65

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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.