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Finding the Fourth Proportional to 416,279.96, 574,465.37 and 225,293.50

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Solution

The fourth proportional to 416,279.96, 574,465.37 and 225,293.50 is: 310,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,279.96 : 574,465.37 = 225,293.50 : x
  2. Step 2: Convert to fraction form
    416,279.96/574,465.37 = 225,293.50/x
  3. Step 3: Cross multiply
    416,279.96x = 574,465.37 × 225,293.50
  4. Step 4: Simplify right side
    416,279.96x = 129,423,313,427.71
  5. Step 5: Solve for x
    x = 129,423,313,427.71/416,279.96
  6. Step 6: Final answer
    x = 310,904.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.