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Finding the Fourth Proportional to 446,225.84, 669,376.56 and 142,663.76

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Solution

The fourth proportional to 446,225.84, 669,376.56 and 142,663.76 is: 214,007.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,225.84 : 669,376.56 = 142,663.76 : x
  2. Step 2: Convert to fraction form
    446,225.84/669,376.56 = 142,663.76/x
  3. Step 3: Cross multiply
    446,225.84x = 669,376.56 × 142,663.76
  4. Step 4: Simplify right side
    446,225.84x = 95,495,776,905.47
  5. Step 5: Solve for x
    x = 95,495,776,905.47/446,225.84
  6. Step 6: Final answer
    x = 214,007.73

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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.