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Finding the Fourth Proportional to 315,732.42, 471,295.38 and 275,873.94

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Solution

The fourth proportional to 315,732.42, 471,295.38 and 275,873.94 is: 411,798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,732.42 : 471,295.38 = 275,873.94 : x
  2. Step 2: Convert to fraction form
    315,732.42/471,295.38 = 275,873.94/x
  3. Step 3: Cross multiply
    315,732.42x = 471,295.38 × 275,873.94
  4. Step 4: Simplify right side
    315,732.42x = 130,018,113,384.40
  5. Step 5: Solve for x
    x = 130,018,113,384.40/315,732.42
  6. Step 6: Final answer
    x = 411,798.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.