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Finding the Fourth Proportional to 476,707, 715,060.50 and 177,262.96

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Solution

The fourth proportional to 476,707, 715,060.50 and 177,262.96 is: 265,894.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,707 : 715,060.50 = 177,262.96 : x
  2. Step 2: Convert to fraction form
    476,707/715,060.50 = 177,262.96/x
  3. Step 3: Cross multiply
    476,707x = 715,060.50 × 177,262.96
  4. Step 4: Simplify right side
    476,707x = 126,753,740,809.08
  5. Step 5: Solve for x
    x = 126,753,740,809.08/476,707
  6. Step 6: Final answer
    x = 265,894.44

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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.