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Finding the Fourth Proportional to 782,814, 1,080,283.32 and 425,118

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Solution

The fourth proportional to 782,814, 1,080,283.32 and 425,118 is: 586,662.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,814 : 1,080,283.32 = 425,118 : x
  2. Step 2: Convert to fraction form
    782,814/1,080,283.32 = 425,118/x
  3. Step 3: Cross multiply
    782,814x = 1,080,283.32 × 425,118
  4. Step 4: Simplify right side
    782,814x = 459,247,884,431.76
  5. Step 5: Solve for x
    x = 459,247,884,431.76/782,814
  6. Step 6: Final answer
    x = 586,662.84

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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.