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Finding the Fourth Proportional to 446,064.46, 668,955.72 and 146,495.68

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Solution

The fourth proportional to 446,064.46, 668,955.72 and 146,495.68 is: 219,697.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,064.46 : 668,955.72 = 146,495.68 : x
  2. Step 2: Convert to fraction form
    446,064.46/668,955.72 = 146,495.68/x
  3. Step 3: Cross multiply
    446,064.46x = 668,955.72 × 146,495.68
  4. Step 4: Simplify right side
    446,064.46x = 97,999,123,091.29
  5. Step 5: Solve for x
    x = 97,999,123,091.29/446,064.46
  6. Step 6: Final answer
    x = 219,697.22

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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.