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Finding the Fourth Proportional to 292,630, 403,829.40 and 158,494

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Solution

The fourth proportional to 292,630, 403,829.40 and 158,494 is: 218,721.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,630 : 403,829.40 = 158,494 : x
  2. Step 2: Convert to fraction form
    292,630/403,829.40 = 158,494/x
  3. Step 3: Cross multiply
    292,630x = 403,829.40 × 158,494
  4. Step 4: Simplify right side
    292,630x = 64,004,536,923.60
  5. Step 5: Solve for x
    x = 64,004,536,923.60/292,630
  6. Step 6: Final answer
    x = 218,721.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.