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Finding the Fourth Proportional to 532,194, 734,427.72 and 362,724.18

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Solution

The fourth proportional to 532,194, 734,427.72 and 362,724.18 is: 500,559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,194 : 734,427.72 = 362,724.18 : x
  2. Step 2: Convert to fraction form
    532,194/734,427.72 = 362,724.18/x
  3. Step 3: Cross multiply
    532,194x = 734,427.72 × 362,724.18
  4. Step 4: Simplify right side
    532,194x = 266,394,692,506.27
  5. Step 5: Solve for x
    x = 266,394,692,506.27/532,194
  6. Step 6: Final answer
    x = 500,559.37

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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.