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Finding the Fourth Proportional to 314,049.40, 433,384.93 and 170,809.41

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Solution

The fourth proportional to 314,049.40, 433,384.93 and 170,809.41 is: 235,715.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,049.40 : 433,384.93 = 170,809.41 : x
  2. Step 2: Convert to fraction form
    314,049.40/433,384.93 = 170,809.41/x
  3. Step 3: Cross multiply
    314,049.40x = 433,384.93 × 170,809.41
  4. Step 4: Simplify right side
    314,049.40x = 74,026,223,597.11
  5. Step 5: Solve for x
    x = 74,026,223,597.11/314,049.40
  6. Step 6: Final answer
    x = 235,715.22

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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.