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Finding the Fourth Proportional to 415,268.40, 621,590.40 and 326,038.80

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Solution

The fourth proportional to 415,268.40, 621,590.40 and 326,038.80 is: 488,027.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,268.40 : 621,590.40 = 326,038.80 : x
  2. Step 2: Convert to fraction form
    415,268.40/621,590.40 = 326,038.80/x
  3. Step 3: Cross multiply
    415,268.40x = 621,590.40 × 326,038.80
  4. Step 4: Simplify right side
    415,268.40x = 202,662,588,107.52
  5. Step 5: Solve for x
    x = 202,662,588,107.52/415,268.40
  6. Step 6: Final answer
    x = 488,027.96

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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.