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Finding the Fourth Proportional to 522,065.20, 783,097.80 and 459,857.20

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Solution

The fourth proportional to 522,065.20, 783,097.80 and 459,857.20 is: 689,785.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,065.20 : 783,097.80 = 459,857.20 : x
  2. Step 2: Convert to fraction form
    522,065.20/783,097.80 = 459,857.20/x
  3. Step 3: Cross multiply
    522,065.20x = 783,097.80 × 459,857.20
  4. Step 4: Simplify right side
    522,065.20x = 360,113,161,634.16
  5. Step 5: Solve for x
    x = 360,113,161,634.16/522,065.20
  6. Step 6: Final answer
    x = 689,785.80

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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.