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Finding the Fourth Proportional to 822,148.78, 1,232,475.78 and 316,387.24

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Solution

The fourth proportional to 822,148.78, 1,232,475.78 and 316,387.24 is: 474,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,148.78 : 1,232,475.78 = 316,387.24 : x
  2. Step 2: Convert to fraction form
    822,148.78/1,232,475.78 = 316,387.24/x
  3. Step 3: Cross multiply
    822,148.78x = 1,232,475.78 × 316,387.24
  4. Step 4: Simplify right side
    822,148.78x = 389,939,610,401.05
  5. Step 5: Solve for x
    x = 389,939,610,401.05/822,148.78
  6. Step 6: Final answer
    x = 474,293.24

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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.