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Finding the Fourth Proportional to 446,459.62, 669,685.35 and 180,031.46

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Solution

The fourth proportional to 446,459.62, 669,685.35 and 180,031.46 is: 270,045.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,459.62 : 669,685.35 = 180,031.46 : x
  2. Step 2: Convert to fraction form
    446,459.62/669,685.35 = 180,031.46/x
  3. Step 3: Cross multiply
    446,459.62x = 669,685.35 × 180,031.46
  4. Step 4: Simplify right side
    446,459.62x = 120,564,431,301.11
  5. Step 5: Solve for x
    x = 120,564,431,301.11/446,459.62
  6. Step 6: Final answer
    x = 270,045.54

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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.