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Finding the Fourth Proportional to 470,892.95, 649,827.68 and 256,033.01

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Solution

The fourth proportional to 470,892.95, 649,827.68 and 256,033.01 is: 353,323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,892.95 : 649,827.68 = 256,033.01 : x
  2. Step 2: Convert to fraction form
    470,892.95/649,827.68 = 256,033.01/x
  3. Step 3: Cross multiply
    470,892.95x = 649,827.68 × 256,033.01
  4. Step 4: Simplify right side
    470,892.95x = 166,377,332,362.41
  5. Step 5: Solve for x
    x = 166,377,332,362.41/470,892.95
  6. Step 6: Final answer
    x = 353,323.05

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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.