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Finding the Fourth Proportional to 470,573.25, 649,478.57 and 269,369.25

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Solution

The fourth proportional to 470,573.25, 649,478.57 and 269,369.25 is: 371,779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,573.25 : 649,478.57 = 269,369.25 : x
  2. Step 2: Convert to fraction form
    470,573.25/649,478.57 = 269,369.25/x
  3. Step 3: Cross multiply
    470,573.25x = 649,478.57 × 269,369.25
  4. Step 4: Simplify right side
    470,573.25x = 174,949,553,945.13
  5. Step 5: Solve for x
    x = 174,949,553,945.13/470,573.25
  6. Step 6: Final answer
    x = 371,779.64

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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.