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Finding the Fourth Proportional to 702,309.53, 969,184.02 and 380,025.30

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Solution

The fourth proportional to 702,309.53, 969,184.02 and 380,025.30 is: 524,433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,309.53 : 969,184.02 = 380,025.30 : x
  2. Step 2: Convert to fraction form
    702,309.53/969,184.02 = 380,025.30/x
  3. Step 3: Cross multiply
    702,309.53x = 969,184.02 × 380,025.30
  4. Step 4: Simplify right side
    702,309.53x = 368,314,447,955.71
  5. Step 5: Solve for x
    x = 368,314,447,955.71/702,309.53
  6. Step 6: Final answer
    x = 524,433.22

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Why These Related Problems?

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