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Finding the Fourth Proportional to 315,716.77, 473,579.21 and 105,354.71

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Solution

The fourth proportional to 315,716.77, 473,579.21 and 105,354.71 is: 158,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,716.77 : 473,579.21 = 105,354.71 : x
  2. Step 2: Convert to fraction form
    315,716.77/473,579.21 = 105,354.71/x
  3. Step 3: Cross multiply
    315,716.77x = 473,579.21 × 105,354.71
  4. Step 4: Simplify right side
    315,716.77x = 49,893,799,804.81
  5. Step 5: Solve for x
    x = 49,893,799,804.81/315,716.77
  6. Step 6: Final answer
    x = 158,033.42

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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.