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Finding the Fourth Proportional to 705,194.57, 972,928.19 and 450,692.57

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Solution

The fourth proportional to 705,194.57, 972,928.19 and 450,692.57 is: 621,802.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,194.57 : 972,928.19 = 450,692.57 : x
  2. Step 2: Convert to fraction form
    705,194.57/972,928.19 = 450,692.57/x
  3. Step 3: Cross multiply
    705,194.57x = 972,928.19 × 450,692.57
  4. Step 4: Simplify right side
    705,194.57x = 438,491,504,123.09
  5. Step 5: Solve for x
    x = 438,491,504,123.09/705,194.57
  6. Step 6: Final answer
    x = 621,802.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.