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Finding the Fourth Proportional to 785,485, 1,083,969.30 and 427,789

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Solution

The fourth proportional to 785,485, 1,083,969.30 and 427,789 is: 590,348.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,485 : 1,083,969.30 = 427,789 : x
  2. Step 2: Convert to fraction form
    785,485/1,083,969.30 = 427,789/x
  3. Step 3: Cross multiply
    785,485x = 1,083,969.30 × 427,789
  4. Step 4: Simplify right side
    785,485x = 463,710,142,877.70
  5. Step 5: Solve for x
    x = 463,710,142,877.70/785,485
  6. Step 6: Final answer
    x = 590,348.82

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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.