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Finding the Fourth Proportional to 514,627.11, 709,298.73 and 342,236.97

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Solution

The fourth proportional to 514,627.11, 709,298.73 and 342,236.97 is: 471,697.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,627.11 : 709,298.73 = 342,236.97 : x
  2. Step 2: Convert to fraction form
    514,627.11/709,298.73 = 342,236.97/x
  3. Step 3: Cross multiply
    514,627.11x = 709,298.73 × 342,236.97
  4. Step 4: Simplify right side
    514,627.11x = 242,748,248,180.05
  5. Step 5: Solve for x
    x = 242,748,248,180.05/514,627.11
  6. Step 6: Final answer
    x = 471,697.36

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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.