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Finding the Fourth Proportional to 292,829.76, 438,942.96 and 115,264.80

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Solution

The fourth proportional to 292,829.76, 438,942.96 and 115,264.80 is: 172,778.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,829.76 : 438,942.96 = 115,264.80 : x
  2. Step 2: Convert to fraction form
    292,829.76/438,942.96 = 115,264.80/x
  3. Step 3: Cross multiply
    292,829.76x = 438,942.96 × 115,264.80
  4. Step 4: Simplify right side
    292,829.76x = 50,594,672,495.81
  5. Step 5: Solve for x
    x = 50,594,672,495.81/292,829.76
  6. Step 6: Final answer
    x = 172,778.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.