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Finding the Fourth Proportional to 514,614.86, 771,924.11 and 364,400.76

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Solution

The fourth proportional to 514,614.86, 771,924.11 and 364,400.76 is: 546,602.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,614.86 : 771,924.11 = 364,400.76 : x
  2. Step 2: Convert to fraction form
    514,614.86/771,924.11 = 364,400.76/x
  3. Step 3: Cross multiply
    514,614.86x = 771,924.11 × 364,400.76
  4. Step 4: Simplify right side
    514,614.86x = 281,289,732,346.32
  5. Step 5: Solve for x
    x = 281,289,732,346.32/514,614.86
  6. Step 6: Final answer
    x = 546,602.43

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1.5x scale

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.