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Finding the Fourth Proportional to 342,475.32, 472,710.94 and 199,263.04

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Solution

The fourth proportional to 342,475.32, 472,710.94 and 199,263.04 is: 275,038.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,475.32 : 472,710.94 = 199,263.04 : x
  2. Step 2: Convert to fraction form
    342,475.32/472,710.94 = 199,263.04/x
  3. Step 3: Cross multiply
    342,475.32x = 472,710.94 × 199,263.04
  4. Step 4: Simplify right side
    342,475.32x = 94,193,817,265.72
  5. Step 5: Solve for x
    x = 94,193,817,265.72/342,475.32
  6. Step 6: Final answer
    x = 275,038.27

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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.