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Finding the Fourth Proportional to 314,173.23, 433,569.86 and 170,938.71

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Solution

The fourth proportional to 314,173.23, 433,569.86 and 170,938.71 is: 235,901.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,173.23 : 433,569.86 = 170,938.71 : x
  2. Step 2: Convert to fraction form
    314,173.23/433,569.86 = 170,938.71/x
  3. Step 3: Cross multiply
    314,173.23x = 433,569.86 × 170,938.71
  4. Step 4: Simplify right side
    314,173.23x = 74,113,872,563.28
  5. Step 5: Solve for x
    x = 74,113,872,563.28/314,173.23
  6. Step 6: Final answer
    x = 235,901.30

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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.