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Finding the Fourth Proportional to 766,955.63, 1,058,402.07 and 422,784.14

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Solution

The fourth proportional to 766,955.63, 1,058,402.07 and 422,784.14 is: 583,443.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,955.63 : 1,058,402.07 = 422,784.14 : x
  2. Step 2: Convert to fraction form
    766,955.63/1,058,402.07 = 422,784.14/x
  3. Step 3: Cross multiply
    766,955.63x = 1,058,402.07 × 422,784.14
  4. Step 4: Simplify right side
    766,955.63x = 447,475,603,647.16
  5. Step 5: Solve for x
    x = 447,475,603,647.16/766,955.63
  6. Step 6: Final answer
    x = 583,443.93

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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.