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Finding the Fourth Proportional to 512,921.60, 769,382.40 and 291,737.60

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Solution

The fourth proportional to 512,921.60, 769,382.40 and 291,737.60 is: 437,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,921.60 : 769,382.40 = 291,737.60 : x
  2. Step 2: Convert to fraction form
    512,921.60/769,382.40 = 291,737.60/x
  3. Step 3: Cross multiply
    512,921.60x = 769,382.40 × 291,737.60
  4. Step 4: Simplify right side
    512,921.60x = 224,457,774,858.24
  5. Step 5: Solve for x
    x = 224,457,774,858.24/512,921.60
  6. Step 6: Final answer
    x = 437,606.40

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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.