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Finding the Fourth Proportional to 782,980, 1,080,513.48 and 425,284

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Solution

The fourth proportional to 782,980, 1,080,513.48 and 425,284 is: 586,892.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,980 : 1,080,513.48 = 425,284 : x
  2. Step 2: Convert to fraction form
    782,980/1,080,513.48 = 425,284/x
  3. Step 3: Cross multiply
    782,980x = 1,080,513.48 × 425,284
  4. Step 4: Simplify right side
    782,980x = 459,525,094,828.32
  5. Step 5: Solve for x
    x = 459,525,094,828.32/782,980
  6. Step 6: Final answer
    x = 586,892.51

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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.