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Finding the Fourth Proportional to 310,653.49, 465,981.38 and 94,514.33

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Solution

The fourth proportional to 310,653.49, 465,981.38 and 94,514.33 is: 141,771.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,653.49 : 465,981.38 = 94,514.33 : x
  2. Step 2: Convert to fraction form
    310,653.49/465,981.38 = 94,514.33/x
  3. Step 3: Cross multiply
    310,653.49x = 465,981.38 × 94,514.33
  4. Step 4: Simplify right side
    310,653.49x = 44,041,917,923.18
  5. Step 5: Solve for x
    x = 44,041,917,923.18/310,653.49
  6. Step 6: Final answer
    x = 141,771.84

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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.