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Finding the Fourth Proportional to 567,505.94, 783,164.24 and 312,866.24

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Solution

The fourth proportional to 567,505.94, 783,164.24 and 312,866.24 is: 431,758.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,505.94 : 783,164.24 = 312,866.24 : x
  2. Step 2: Convert to fraction form
    567,505.94/783,164.24 = 312,866.24/x
  3. Step 3: Cross multiply
    567,505.94x = 783,164.24 × 312,866.24
  4. Step 4: Simplify right side
    567,505.94x = 245,025,645,591.11
  5. Step 5: Solve for x
    x = 245,025,645,591.11/567,505.94
  6. Step 6: Final answer
    x = 431,758.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.