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Finding the Fourth Proportional to 514,829.04, 709,676.53 and 361,436.91

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Solution

The fourth proportional to 514,829.04, 709,676.53 and 361,436.91 is: 498,230.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,829.04 : 709,676.53 = 361,436.91 : x
  2. Step 2: Convert to fraction form
    514,829.04/709,676.53 = 361,436.91/x
  3. Step 3: Cross multiply
    514,829.04x = 709,676.53 × 361,436.91
  4. Step 4: Simplify right side
    514,829.04x = 256,503,291,199.13
  5. Step 5: Solve for x
    x = 256,503,291,199.13/514,829.04
  6. Step 6: Final answer
    x = 498,230.04

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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.