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Finding the Fourth Proportional to 342,561.58, 472,702.96 and 204,713.16

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Solution

The fourth proportional to 342,561.58, 472,702.96 and 204,713.16 is: 282,485.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,561.58 : 472,702.96 = 204,713.16 : x
  2. Step 2: Convert to fraction form
    342,561.58/472,702.96 = 204,713.16/x
  3. Step 3: Cross multiply
    342,561.58x = 472,702.96 × 204,713.16
  4. Step 4: Simplify right side
    342,561.58x = 96,768,516,682.95
  5. Step 5: Solve for x
    x = 96,768,516,682.95/342,561.58
  6. Step 6: Final answer
    x = 282,485.03

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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.