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Finding the Fourth Proportional to 532,082.25, 734,289.03 and 290,380.32

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Solution

The fourth proportional to 532,082.25, 734,289.03 and 290,380.32 is: 400,733.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,082.25 : 734,289.03 = 290,380.32 : x
  2. Step 2: Convert to fraction form
    532,082.25/734,289.03 = 290,380.32/x
  3. Step 3: Cross multiply
    532,082.25x = 734,289.03 × 290,380.32
  4. Step 4: Simplify right side
    532,082.25x = 213,223,083,503.89
  5. Step 5: Solve for x
    x = 213,223,083,503.89/532,082.25
  6. Step 6: Final answer
    x = 400,733.31

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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.