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Finding the Fourth Proportional to 614,008.35, 847,393.85 and 342,120.51

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Solution

The fourth proportional to 614,008.35, 847,393.85 and 342,120.51 is: 472,161.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,008.35 : 847,393.85 = 342,120.51 : x
  2. Step 2: Convert to fraction form
    614,008.35/847,393.85 = 342,120.51/x
  3. Step 3: Cross multiply
    614,008.35x = 847,393.85 × 342,120.51
  4. Step 4: Simplify right side
    614,008.35x = 289,910,816,988.17
  5. Step 5: Solve for x
    x = 289,910,816,988.17/614,008.35
  6. Step 6: Final answer
    x = 472,161.03

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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.