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Finding the Fourth Proportional to 413,670.40, 620,505.60 and 256,206.40

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Solution

The fourth proportional to 413,670.40, 620,505.60 and 256,206.40 is: 384,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,670.40 : 620,505.60 = 256,206.40 : x
  2. Step 2: Convert to fraction form
    413,670.40/620,505.60 = 256,206.40/x
  3. Step 3: Cross multiply
    413,670.40x = 620,505.60 × 256,206.40
  4. Step 4: Simplify right side
    413,670.40x = 158,977,505,955.84
  5. Step 5: Solve for x
    x = 158,977,505,955.84/413,670.40
  6. Step 6: Final answer
    x = 384,309.60

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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.