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Finding the Fourth Proportional to 514,615.37, 771,924.86 and 364,401.27

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Solution

The fourth proportional to 514,615.37, 771,924.86 and 364,401.27 is: 546,603.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,615.37 : 771,924.86 = 364,401.27 : x
  2. Step 2: Convert to fraction form
    514,615.37/771,924.86 = 364,401.27/x
  3. Step 3: Cross multiply
    514,615.37x = 771,924.86 × 364,401.27
  4. Step 4: Simplify right side
    514,615.37x = 281,290,397,506.57
  5. Step 5: Solve for x
    x = 281,290,397,506.57/514,615.37
  6. Step 6: Final answer
    x = 546,603.18

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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.