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Finding the Fourth Proportional to 611,164.40, 917,074.65 and 256,214.30

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Solution

The fourth proportional to 611,164.40, 917,074.65 and 256,214.30 is: 384,458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,164.40 : 917,074.65 = 256,214.30 : x
  2. Step 2: Convert to fraction form
    611,164.40/917,074.65 = 256,214.30/x
  3. Step 3: Cross multiply
    611,164.40x = 917,074.65 × 256,214.30
  4. Step 4: Simplify right side
    611,164.40x = 234,967,639,497.50
  5. Step 5: Solve for x
    x = 234,967,639,497.50/611,164.40
  6. Step 6: Final answer
    x = 384,458.98

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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.