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Finding the Fourth Proportional to 391,313.60, 586,970.40 and 204,281.60

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Solution

The fourth proportional to 391,313.60, 586,970.40 and 204,281.60 is: 306,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,313.60 : 586,970.40 = 204,281.60 : x
  2. Step 2: Convert to fraction form
    391,313.60/586,970.40 = 204,281.60/x
  3. Step 3: Cross multiply
    391,313.60x = 586,970.40 × 204,281.60
  4. Step 4: Simplify right side
    391,313.60x = 119,907,252,464.64
  5. Step 5: Solve for x
    x = 119,907,252,464.64/391,313.60
  6. Step 6: Final answer
    x = 306,422.40

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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.