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Finding the Fourth Proportional to 470,963.92, 649,947.32 and 269,798.80

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Solution

The fourth proportional to 470,963.92, 649,947.32 and 269,798.80 is: 372,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,963.92 : 649,947.32 = 269,798.80 : x
  2. Step 2: Convert to fraction form
    470,963.92/649,947.32 = 269,798.80/x
  3. Step 3: Cross multiply
    470,963.92x = 649,947.32 × 269,798.80
  4. Step 4: Simplify right side
    470,963.92x = 175,355,005,496.94
  5. Step 5: Solve for x
    x = 175,355,005,496.94/470,963.92
  6. Step 6: Final answer
    x = 372,332.14

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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.