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Finding the Fourth Proportional to 601,614.74, 830,122.92 and 343,373.78

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Solution

The fourth proportional to 601,614.74, 830,122.92 and 343,373.78 is: 473,795.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,614.74 : 830,122.92 = 343,373.78 : x
  2. Step 2: Convert to fraction form
    601,614.74/830,122.92 = 343,373.78/x
  3. Step 3: Cross multiply
    601,614.74x = 830,122.92 × 343,373.78
  4. Step 4: Simplify right side
    601,614.74x = 285,042,446,980.35
  5. Step 5: Solve for x
    x = 285,042,446,980.35/601,614.74
  6. Step 6: Final answer
    x = 473,795.65

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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.