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Finding the Fourth Proportional to 471,614.42, 651,260.18 and 299,587.83

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Solution

The fourth proportional to 471,614.42, 651,260.18 and 299,587.83 is: 413,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,614.42 : 651,260.18 = 299,587.83 : x
  2. Step 2: Convert to fraction form
    471,614.42/651,260.18 = 299,587.83/x
  3. Step 3: Cross multiply
    471,614.42x = 651,260.18 × 299,587.83
  4. Step 4: Simplify right side
    471,614.42x = 195,109,624,091.61
  5. Step 5: Solve for x
    x = 195,109,624,091.61/471,614.42
  6. Step 6: Final answer
    x = 413,705.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.