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Finding the Fourth Proportional to 446,445.64, 669,765.45 and 146,956.63

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Solution

The fourth proportional to 446,445.64, 669,765.45 and 146,956.63 is: 220,466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,445.64 : 669,765.45 = 146,956.63 : x
  2. Step 2: Convert to fraction form
    446,445.64/669,765.45 = 146,956.63/x
  3. Step 3: Cross multiply
    446,445.64x = 669,765.45 × 146,956.63
  4. Step 4: Simplify right side
    446,445.64x = 98,426,473,422.43
  5. Step 5: Solve for x
    x = 98,426,473,422.43/446,445.64
  6. Step 6: Final answer
    x = 220,466.87

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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.