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Finding the Fourth Proportional to 514,096.74, 709,453.35 and 287,742.24

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Solution

The fourth proportional to 514,096.74, 709,453.35 and 287,742.24 is: 397,084.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,096.74 : 709,453.35 = 287,742.24 : x
  2. Step 2: Convert to fraction form
    514,096.74/709,453.35 = 287,742.24/x
  3. Step 3: Cross multiply
    514,096.74x = 709,453.35 × 287,742.24
  4. Step 4: Simplify right side
    514,096.74x = 204,139,696,104.50
  5. Step 5: Solve for x
    x = 204,139,696,104.50/514,096.74
  6. Step 6: Final answer
    x = 397,084.21

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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.