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Finding the Fourth Proportional to 514,829.17, 709,676.70 and 361,437.04

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Solution

The fourth proportional to 514,829.17, 709,676.70 and 361,437.04 is: 498,230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,829.17 : 709,676.70 = 361,437.04 : x
  2. Step 2: Convert to fraction form
    514,829.17/709,676.70 = 361,437.04/x
  3. Step 3: Cross multiply
    514,829.17x = 709,676.70 × 361,437.04
  4. Step 4: Simplify right side
    514,829.17x = 256,503,442,256.58
  5. Step 5: Solve for x
    x = 256,503,442,256.58/514,829.17
  6. Step 6: Final answer
    x = 498,230.21

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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.