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Finding the Fourth Proportional to 510,362.66, 704,254.65 and 295,517.30

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Solution

The fourth proportional to 510,362.66, 704,254.65 and 295,517.30 is: 407,787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,362.66 : 704,254.65 = 295,517.30 : x
  2. Step 2: Convert to fraction form
    510,362.66/704,254.65 = 295,517.30/x
  3. Step 3: Cross multiply
    510,362.66x = 704,254.65 × 295,517.30
  4. Step 4: Simplify right side
    510,362.66x = 208,119,432,680.45
  5. Step 5: Solve for x
    x = 208,119,432,680.45/510,362.66
  6. Step 6: Final answer
    x = 407,787.34

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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.