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Finding the Fourth Proportional to 515,461.90, 773,007.42 and 178,411

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Solution

The fourth proportional to 515,461.90, 773,007.42 and 178,411 is: 267,552.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,461.90 : 773,007.42 = 178,411 : x
  2. Step 2: Convert to fraction form
    515,461.90/773,007.42 = 178,411/x
  3. Step 3: Cross multiply
    515,461.90x = 773,007.42 × 178,411
  4. Step 4: Simplify right side
    515,461.90x = 137,913,026,809.62
  5. Step 5: Solve for x
    x = 137,913,026,809.62/515,461.90
  6. Step 6: Final answer
    x = 267,552.32

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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.