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Finding the Fourth Proportional to 514,609.47, 709,274.44 and 342,219.31

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Solution

The fourth proportional to 514,609.47, 709,274.44 and 342,219.31 is: 471,673.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,609.47 : 709,274.44 = 342,219.31 : x
  2. Step 2: Convert to fraction form
    514,609.47/709,274.44 = 342,219.31/x
  3. Step 3: Cross multiply
    514,609.47x = 709,274.44 × 342,219.31
  4. Step 4: Simplify right side
    514,609.47x = 242,727,408,112.02
  5. Step 5: Solve for x
    x = 242,727,408,112.02/514,609.47
  6. Step 6: Final answer
    x = 471,673.03

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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.