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Finding the Fourth Proportional to 470,971.44, 649,957.65 and 269,806.32

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Solution

The fourth proportional to 470,971.44, 649,957.65 and 269,806.32 is: 372,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,971.44 : 649,957.65 = 269,806.32 : x
  2. Step 2: Convert to fraction form
    470,971.44/649,957.65 = 269,806.32/x
  3. Step 3: Cross multiply
    470,971.44x = 649,957.65 × 269,806.32
  4. Step 4: Simplify right side
    470,971.44x = 175,362,681,702.35
  5. Step 5: Solve for x
    x = 175,362,681,702.35/470,971.44
  6. Step 6: Final answer
    x = 372,342.50

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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.