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Finding the Fourth Proportional to 476,128.92, 714,235.32 and 176,612.70

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Solution

The fourth proportional to 476,128.92, 714,235.32 and 176,612.70 is: 264,934.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,128.92 : 714,235.32 = 176,612.70 : x
  2. Step 2: Convert to fraction form
    476,128.92/714,235.32 = 176,612.70/x
  3. Step 3: Cross multiply
    476,128.92x = 714,235.32 × 176,612.70
  4. Step 4: Simplify right side
    476,128.92x = 126,143,028,300.56
  5. Step 5: Solve for x
    x = 126,143,028,300.56/476,128.92
  6. Step 6: Final answer
    x = 264,934.61

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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.