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Finding the Fourth Proportional to 470,457.93, 649,228.44 and 255,599.76

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Solution

The fourth proportional to 470,457.93, 649,228.44 and 255,599.76 is: 352,725.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,457.93 : 649,228.44 = 255,599.76 : x
  2. Step 2: Convert to fraction form
    470,457.93/649,228.44 = 255,599.76/x
  3. Step 3: Cross multiply
    470,457.93x = 649,228.44 × 255,599.76
  4. Step 4: Simplify right side
    470,457.93x = 165,942,633,449.17
  5. Step 5: Solve for x
    x = 165,942,633,449.17/470,457.93
  6. Step 6: Final answer
    x = 352,725.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.