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Finding the Fourth Proportional to 316,045.31, 473,969.14 and 105,634.04

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Solution

The fourth proportional to 316,045.31, 473,969.14 and 105,634.04 is: 158,418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,045.31 : 473,969.14 = 105,634.04 : x
  2. Step 2: Convert to fraction form
    316,045.31/473,969.14 = 105,634.04/x
  3. Step 3: Cross multiply
    316,045.31x = 473,969.14 × 105,634.04
  4. Step 4: Simplify right side
    316,045.31x = 50,067,272,459.59
  5. Step 5: Solve for x
    x = 50,067,272,459.59/316,045.31
  6. Step 6: Final answer
    x = 158,418.02

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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.