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Finding the Fourth Proportional to 275,376.64, 413,056.32 and 78,384.64

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Solution

The fourth proportional to 275,376.64, 413,056.32 and 78,384.64 is: 117,574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,376.64 : 413,056.32 = 78,384.64 : x
  2. Step 2: Convert to fraction form
    275,376.64/413,056.32 = 78,384.64/x
  3. Step 3: Cross multiply
    275,376.64x = 413,056.32 × 78,384.64
  4. Step 4: Simplify right side
    275,376.64x = 32,377,270,942.92
  5. Step 5: Solve for x
    x = 32,377,270,942.92/275,376.64
  6. Step 6: Final answer
    x = 117,574.50

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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.