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Finding the Fourth Proportional to 315,639.81, 473,464.04 and 105,277.95

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Solution

The fourth proportional to 315,639.81, 473,464.04 and 105,277.95 is: 157,918.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,639.81 : 473,464.04 = 105,277.95 : x
  2. Step 2: Convert to fraction form
    315,639.81/473,464.04 = 105,277.95/x
  3. Step 3: Cross multiply
    315,639.81x = 473,464.04 × 105,277.95
  4. Step 4: Simplify right side
    315,639.81x = 49,845,323,003.53
  5. Step 5: Solve for x
    x = 49,845,323,003.53/315,639.81
  6. Step 6: Final answer
    x = 157,918.37

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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.