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Finding the Fourth Proportional to 570,899.83, 787,842.38 and 309,255.75

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Solution

The fourth proportional to 570,899.83, 787,842.38 and 309,255.75 is: 426,773.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,899.83 : 787,842.38 = 309,255.75 : x
  2. Step 2: Convert to fraction form
    570,899.83/787,842.38 = 309,255.75/x
  3. Step 3: Cross multiply
    570,899.83x = 787,842.38 × 309,255.75
  4. Step 4: Simplify right side
    570,899.83x = 243,644,784,139.08
  5. Step 5: Solve for x
    x = 243,644,784,139.08/570,899.83
  6. Step 6: Final answer
    x = 426,773.26

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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.