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Finding the Fourth Proportional to 292,794, 404,056.20 and 158,658

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Solution

The fourth proportional to 292,794, 404,056.20 and 158,658 is: 218,948.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,794 : 404,056.20 = 158,658 : x
  2. Step 2: Convert to fraction form
    292,794/404,056.20 = 158,658/x
  3. Step 3: Cross multiply
    292,794x = 404,056.20 × 158,658
  4. Step 4: Simplify right side
    292,794x = 64,106,748,579.60
  5. Step 5: Solve for x
    x = 64,106,748,579.60/292,794
  6. Step 6: Final answer
    x = 218,948.30

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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.