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Finding the Fourth Proportional to 318,304.91, 477,356.08 and 105,033.06

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Solution

The fourth proportional to 318,304.91, 477,356.08 and 105,033.06 is: 157,516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,304.91 : 477,356.08 = 105,033.06 : x
  2. Step 2: Convert to fraction form
    318,304.91/477,356.08 = 105,033.06/x
  3. Step 3: Cross multiply
    318,304.91x = 477,356.08 × 105,033.06
  4. Step 4: Simplify right side
    318,304.91x = 50,138,167,936.27
  5. Step 5: Solve for x
    x = 50,138,167,936.27/318,304.91
  6. Step 6: Final answer
    x = 157,516.16

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1.5x scale

Why These Related Problems?

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