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Finding the Fourth Proportional to 392,022.60, 587,159.10 and 322,038.60

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Solution

The fourth proportional to 392,022.60, 587,159.10 and 322,038.60 is: 482,339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,022.60 : 587,159.10 = 322,038.60 : x
  2. Step 2: Convert to fraction form
    392,022.60/587,159.10 = 322,038.60/x
  3. Step 3: Cross multiply
    392,022.60x = 587,159.10 × 322,038.60
  4. Step 4: Simplify right side
    392,022.60x = 189,087,894,541.26
  5. Step 5: Solve for x
    x = 189,087,894,541.26/392,022.60
  6. Step 6: Final answer
    x = 482,339.27

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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.