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Finding the Fourth Proportional to 446,950.14, 670,445.86 and 147,456.89

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Solution

The fourth proportional to 446,950.14, 670,445.86 and 147,456.89 is: 221,192.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,950.14 : 670,445.86 = 147,456.89 : x
  2. Step 2: Convert to fraction form
    446,950.14/670,445.86 = 147,456.89/x
  3. Step 3: Cross multiply
    446,950.14x = 670,445.86 × 147,456.89
  4. Step 4: Simplify right side
    446,950.14x = 98,861,860,498.76
  5. Step 5: Solve for x
    x = 98,861,860,498.76/446,950.14
  6. Step 6: Final answer
    x = 221,192.15

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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.