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Finding the Fourth Proportional to 514,826.90, 709,673.62 and 361,434.76

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Solution

The fourth proportional to 514,826.90, 709,673.62 and 361,434.76 is: 498,227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,826.90 : 709,673.62 = 361,434.76 : x
  2. Step 2: Convert to fraction form
    514,826.90/709,673.62 = 361,434.76/x
  3. Step 3: Cross multiply
    514,826.90x = 709,673.62 × 361,434.76
  4. Step 4: Simplify right side
    514,826.90x = 256,500,714,523.03
  5. Step 5: Solve for x
    x = 256,500,714,523.03/514,826.90
  6. Step 6: Final answer
    x = 498,227.10

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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.