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Finding the Fourth Proportional to 316,934.88, 475,301.94 and 103,653.51

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Solution

The fourth proportional to 316,934.88, 475,301.94 and 103,653.51 is: 155,447.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,934.88 : 475,301.94 = 103,653.51 : x
  2. Step 2: Convert to fraction form
    316,934.88/475,301.94 = 103,653.51/x
  3. Step 3: Cross multiply
    316,934.88x = 475,301.94 × 103,653.51
  4. Step 4: Simplify right side
    316,934.88x = 49,266,714,390.81
  5. Step 5: Solve for x
    x = 49,266,714,390.81/316,934.88
  6. Step 6: Final answer
    x = 155,447.44

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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.