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Finding the Fourth Proportional to 470,920.92, 649,871.64 and 256,060.80

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Solution

The fourth proportional to 470,920.92, 649,871.64 and 256,060.80 is: 353,364.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,920.92 : 649,871.64 = 256,060.80 : x
  2. Step 2: Convert to fraction form
    470,920.92/649,871.64 = 256,060.80/x
  3. Step 3: Cross multiply
    470,920.92x = 649,871.64 × 256,060.80
  4. Step 4: Simplify right side
    470,920.92x = 166,406,652,035.71
  5. Step 5: Solve for x
    x = 166,406,652,035.71/470,920.92
  6. Step 6: Final answer
    x = 353,364.32

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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.