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Finding the Fourth Proportional to 524,130.40, 784,251.60 and 384,162.40

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Solution

The fourth proportional to 524,130.40, 784,251.60 and 384,162.40 is: 574,818.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,130.40 : 784,251.60 = 384,162.40 : x
  2. Step 2: Convert to fraction form
    524,130.40/784,251.60 = 384,162.40/x
  3. Step 3: Cross multiply
    524,130.40x = 784,251.60 × 384,162.40
  4. Step 4: Simplify right side
    524,130.40x = 301,279,976,859.84
  5. Step 5: Solve for x
    x = 301,279,976,859.84/524,130.40
  6. Step 6: Final answer
    x = 574,818.74

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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.