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Finding the Fourth Proportional to 314,448.95, 433,947.35 and 171,216.85

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Solution

The fourth proportional to 314,448.95, 433,947.35 and 171,216.85 is: 236,283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,448.95 : 433,947.35 = 171,216.85 : x
  2. Step 2: Convert to fraction form
    314,448.95/433,947.35 = 171,216.85/x
  3. Step 3: Cross multiply
    314,448.95x = 433,947.35 × 171,216.85
  4. Step 4: Simplify right side
    314,448.95x = 74,299,098,332.85
  5. Step 5: Solve for x
    x = 74,299,098,332.85/314,448.95
  6. Step 6: Final answer
    x = 236,283.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.