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Finding the Fourth Proportional to 470,658.74, 649,513.32 and 255,799.32

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Solution

The fourth proportional to 470,658.74, 649,513.32 and 255,799.32 is: 353,005.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,658.74 : 649,513.32 = 255,799.32 : x
  2. Step 2: Convert to fraction form
    470,658.74/649,513.32 = 255,799.32/x
  3. Step 3: Cross multiply
    470,658.74x = 649,513.32 × 255,799.32
  4. Step 4: Simplify right side
    470,658.74x = 166,145,065,586.94
  5. Step 5: Solve for x
    x = 166,145,065,586.94/470,658.74
  6. Step 6: Final answer
    x = 353,005.38

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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.