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Finding the Fourth Proportional to 514,802.56, 771,350.40 and 364,297.12

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Solution

The fourth proportional to 514,802.56, 771,350.40 and 364,297.12 is: 545,841.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,802.56 : 771,350.40 = 364,297.12 : x
  2. Step 2: Convert to fraction form
    514,802.56/771,350.40 = 364,297.12/x
  3. Step 3: Cross multiply
    514,802.56x = 771,350.40 × 364,297.12
  4. Step 4: Simplify right side
    514,802.56x = 281,000,729,230.85
  5. Step 5: Solve for x
    x = 281,000,729,230.85/514,802.56
  6. Step 6: Final answer
    x = 545,841.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.