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Finding the Fourth Proportional to 514,756.68, 771,281.46 and 364,250.94

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Solution

The fourth proportional to 514,756.68, 771,281.46 and 364,250.94 is: 545,772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,756.68 : 771,281.46 = 364,250.94 : x
  2. Step 2: Convert to fraction form
    514,756.68/771,281.46 = 364,250.94/x
  3. Step 3: Cross multiply
    514,756.68x = 771,281.46 × 364,250.94
  4. Step 4: Simplify right side
    514,756.68x = 280,939,996,809.57
  5. Step 5: Solve for x
    x = 280,939,996,809.57/514,756.68
  6. Step 6: Final answer
    x = 545,772.42

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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.