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Finding the Fourth Proportional to 342,437.90, 472,754.34 and 206,506.26

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Solution

The fourth proportional to 342,437.90, 472,754.34 and 206,506.26 is: 285,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,437.90 : 472,754.34 = 206,506.26 : x
  2. Step 2: Convert to fraction form
    342,437.90/472,754.34 = 206,506.26/x
  3. Step 3: Cross multiply
    342,437.90x = 472,754.34 × 206,506.26
  4. Step 4: Simplify right side
    342,437.90x = 97,626,730,652.17
  5. Step 5: Solve for x
    x = 97,626,730,652.17/342,437.90
  6. Step 6: Final answer
    x = 285,093.24

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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.