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Finding the Fourth Proportional to 466,457.80, 700,205.10 and 256,505.80

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Solution

The fourth proportional to 466,457.80, 700,205.10 and 256,505.80 is: 385,043.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,457.80 : 700,205.10 = 256,505.80 : x
  2. Step 2: Convert to fraction form
    466,457.80/700,205.10 = 256,505.80/x
  3. Step 3: Cross multiply
    466,457.80x = 700,205.10 × 256,505.80
  4. Step 4: Simplify right side
    466,457.80x = 179,606,669,339.58
  5. Step 5: Solve for x
    x = 179,606,669,339.58/466,457.80
  6. Step 6: Final answer
    x = 385,043.77

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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.