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Finding the Fourth Proportional to 314,155.95, 433,537.13 and 170,917.02

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Solution

The fourth proportional to 314,155.95, 433,537.13 and 170,917.02 is: 235,866.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,155.95 : 433,537.13 = 170,917.02 : x
  2. Step 2: Convert to fraction form
    314,155.95/433,537.13 = 170,917.02/x
  3. Step 3: Cross multiply
    314,155.95x = 433,537.13 × 170,917.02
  4. Step 4: Simplify right side
    314,155.95x = 74,098,874,318.95
  5. Step 5: Solve for x
    x = 74,098,874,318.95/314,155.95
  6. Step 6: Final answer
    x = 235,866.53

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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.