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Finding the Fourth Proportional to 459,514.69, 633,465.50 and 304,205.76

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Solution

The fourth proportional to 459,514.69, 633,465.50 and 304,205.76 is: 419,363.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,514.69 : 633,465.50 = 304,205.76 : x
  2. Step 2: Convert to fraction form
    459,514.69/633,465.50 = 304,205.76/x
  3. Step 3: Cross multiply
    459,514.69x = 633,465.50 × 304,205.76
  4. Step 4: Simplify right side
    459,514.69x = 192,703,852,340.25
  5. Step 5: Solve for x
    x = 192,703,852,340.25/459,514.69
  6. Step 6: Final answer
    x = 419,363.86

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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.