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Finding the Fourth Proportional to 389,741.80, 584,612.70 and 311,009.80

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Solution

The fourth proportional to 389,741.80, 584,612.70 and 311,009.80 is: 466,514.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,741.80 : 584,612.70 = 311,009.80 : x
  2. Step 2: Convert to fraction form
    389,741.80/584,612.70 = 311,009.80/x
  3. Step 3: Cross multiply
    389,741.80x = 584,612.70 × 311,009.80
  4. Step 4: Simplify right side
    389,741.80x = 181,820,278,904.46
  5. Step 5: Solve for x
    x = 181,820,278,904.46/389,741.80
  6. Step 6: Final answer
    x = 466,514.70

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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.