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Finding the Fourth Proportional to 292,714.75, 403,946.76 and 158,578.75

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Solution

The fourth proportional to 292,714.75, 403,946.76 and 158,578.75 is: 218,838.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,714.75 : 403,946.76 = 158,578.75 : x
  2. Step 2: Convert to fraction form
    292,714.75/403,946.76 = 158,578.75/x
  3. Step 3: Cross multiply
    292,714.75x = 403,946.76 × 158,578.75
  4. Step 4: Simplify right side
    292,714.75x = 64,057,372,267.35
  5. Step 5: Solve for x
    x = 64,057,372,267.35/292,714.75
  6. Step 6: Final answer
    x = 218,838.89

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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.