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Finding the Fourth Proportional to 411,464.80, 616,808.40 and 243,114.40

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Solution

The fourth proportional to 411,464.80, 616,808.40 and 243,114.40 is: 364,441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,464.80 : 616,808.40 = 243,114.40 : x
  2. Step 2: Convert to fraction form
    411,464.80/616,808.40 = 243,114.40/x
  3. Step 3: Cross multiply
    411,464.80x = 616,808.40 × 243,114.40
  4. Step 4: Simplify right side
    411,464.80x = 149,955,004,080.96
  5. Step 5: Solve for x
    x = 149,955,004,080.96/411,464.80
  6. Step 6: Final answer
    x = 364,441.88

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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.