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Finding the Fourth Proportional to 659,447.28, 909,702.36 and 417,321.84

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Solution

The fourth proportional to 659,447.28, 909,702.36 and 417,321.84 is: 575,692.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,447.28 : 909,702.36 = 417,321.84 : x
  2. Step 2: Convert to fraction form
    659,447.28/909,702.36 = 417,321.84/x
  3. Step 3: Cross multiply
    659,447.28x = 909,702.36 × 417,321.84
  4. Step 4: Simplify right side
    659,447.28x = 379,638,662,727.54
  5. Step 5: Solve for x
    x = 379,638,662,727.54/659,447.28
  6. Step 6: Final answer
    x = 575,692.21

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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.