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Finding the Fourth Proportional to 830,134.40, 1,245,201.60 and 410,230.40

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Solution

The fourth proportional to 830,134.40, 1,245,201.60 and 410,230.40 is: 615,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,134.40 : 1,245,201.60 = 410,230.40 : x
  2. Step 2: Convert to fraction form
    830,134.40/1,245,201.60 = 410,230.40/x
  3. Step 3: Cross multiply
    830,134.40x = 1,245,201.60 × 410,230.40
  4. Step 4: Simplify right side
    830,134.40x = 510,819,550,448.64
  5. Step 5: Solve for x
    x = 510,819,550,448.64/830,134.40
  6. Step 6: Final answer
    x = 615,345.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.