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Finding the Fourth Proportional to 471,152.48, 650,207.76 and 269,987.36

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Solution

The fourth proportional to 471,152.48, 650,207.76 and 269,987.36 is: 372,592.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,152.48 : 650,207.76 = 269,987.36 : x
  2. Step 2: Convert to fraction form
    471,152.48/650,207.76 = 269,987.36/x
  3. Step 3: Cross multiply
    471,152.48x = 650,207.76 × 269,987.36
  4. Step 4: Simplify right side
    471,152.48x = 175,547,876,573.91
  5. Step 5: Solve for x
    x = 175,547,876,573.91/471,152.48
  6. Step 6: Final answer
    x = 372,592.49

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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.