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Finding the Fourth Proportional to 446,274.17, 669,432.77 and 146,748.12

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Solution

The fourth proportional to 446,274.17, 669,432.77 and 146,748.12 is: 220,129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,274.17 : 669,432.77 = 146,748.12 : x
  2. Step 2: Convert to fraction form
    446,274.17/669,432.77 = 146,748.12/x
  3. Step 3: Cross multiply
    446,274.17x = 669,432.77 × 146,748.12
  4. Step 4: Simplify right side
    446,274.17x = 98,238,000,463.89
  5. Step 5: Solve for x
    x = 98,238,000,463.89/446,274.17
  6. Step 6: Final answer
    x = 220,129.25

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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.