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Finding the Fourth Proportional to 613,311.90, 919,639.80 and 257,924.40

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Solution

The fourth proportional to 613,311.90, 919,639.80 and 257,924.40 is: 386,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,311.90 : 919,639.80 = 257,924.40 : x
  2. Step 2: Convert to fraction form
    613,311.90/919,639.80 = 257,924.40/x
  3. Step 3: Cross multiply
    613,311.90x = 919,639.80 × 257,924.40
  4. Step 4: Simplify right side
    613,311.90x = 237,197,543,631.12
  5. Step 5: Solve for x
    x = 237,197,543,631.12/613,311.90
  6. Step 6: Final answer
    x = 386,748.64

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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.