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Finding the Fourth Proportional to 524,025.40, 784,223.70 and 313,814.20

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Solution

The fourth proportional to 524,025.40, 784,223.70 and 313,814.20 is: 469,634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,025.40 : 784,223.70 = 313,814.20 : x
  2. Step 2: Convert to fraction form
    524,025.40/784,223.70 = 313,814.20/x
  3. Step 3: Cross multiply
    524,025.40x = 784,223.70 × 313,814.20
  4. Step 4: Simplify right side
    524,025.40x = 246,100,533,036.54
  5. Step 5: Solve for x
    x = 246,100,533,036.54/524,025.40
  6. Step 6: Final answer
    x = 469,634.74

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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.