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Finding the Fourth Proportional to 292,735.84, 403,975.38 and 158,599.84

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Solution

The fourth proportional to 292,735.84, 403,975.38 and 158,599.84 is: 218,867.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,735.84 : 403,975.38 = 158,599.84 : x
  2. Step 2: Convert to fraction form
    292,735.84/403,975.38 = 158,599.84/x
  3. Step 3: Cross multiply
    292,735.84x = 403,975.38 × 158,599.84
  4. Step 4: Simplify right side
    292,735.84x = 64,070,430,631.94
  5. Step 5: Solve for x
    x = 64,070,430,631.94/292,735.84
  6. Step 6: Final answer
    x = 218,867.74

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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.