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Finding the Fourth Proportional to 467,071.16, 644,590.98 and 265,867.16

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Solution

The fourth proportional to 467,071.16, 644,590.98 and 265,867.16 is: 366,915.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,071.16 : 644,590.98 = 265,867.16 : x
  2. Step 2: Convert to fraction form
    467,071.16/644,590.98 = 265,867.16/x
  3. Step 3: Cross multiply
    467,071.16x = 644,590.98 × 265,867.16
  4. Step 4: Simplify right side
    467,071.16x = 171,375,573,214.22
  5. Step 5: Solve for x
    x = 171,375,573,214.22/467,071.16
  6. Step 6: Final answer
    x = 366,915.34

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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.