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Finding the Fourth Proportional to 470,650.02, 649,502.07 and 255,790.08

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Solution

The fourth proportional to 470,650.02, 649,502.07 and 255,790.08 is: 352,993.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,650.02 : 649,502.07 = 255,790.08 : x
  2. Step 2: Convert to fraction form
    470,650.02/649,502.07 = 255,790.08/x
  3. Step 3: Cross multiply
    470,650.02x = 649,502.07 × 255,790.08
  4. Step 4: Simplify right side
    470,650.02x = 166,136,186,445.47
  5. Step 5: Solve for x
    x = 166,136,186,445.47/470,650.02
  6. Step 6: Final answer
    x = 352,993.05

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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.