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Finding the Fourth Proportional to 472,125.42, 708,409.23 and 235,486.35

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Solution

The fourth proportional to 472,125.42, 708,409.23 and 235,486.35 is: 353,339.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,125.42 : 708,409.23 = 235,486.35 : x
  2. Step 2: Convert to fraction form
    472,125.42/708,409.23 = 235,486.35/x
  3. Step 3: Cross multiply
    472,125.42x = 708,409.23 × 235,486.35
  4. Step 4: Simplify right side
    472,125.42x = 166,820,703,879.01
  5. Step 5: Solve for x
    x = 166,820,703,879.01/472,125.42
  6. Step 6: Final answer
    x = 353,339.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.