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Finding the Fourth Proportional to 470,362.82, 649,105.53 and 255,507.14

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Solution

The fourth proportional to 470,362.82, 649,105.53 and 255,507.14 is: 352,602.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,362.82 : 649,105.53 = 255,507.14 : x
  2. Step 2: Convert to fraction form
    470,362.82/649,105.53 = 255,507.14/x
  3. Step 3: Cross multiply
    470,362.82x = 649,105.53 × 255,507.14
  4. Step 4: Simplify right side
    470,362.82x = 165,851,097,528.48
  5. Step 5: Solve for x
    x = 165,851,097,528.48/470,362.82
  6. Step 6: Final answer
    x = 352,602.48

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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.