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Finding the Fourth Proportional to 315,728.19, 473,576.85 and 116,033.22

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Solution

The fourth proportional to 315,728.19, 473,576.85 and 116,033.22 is: 174,044.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,728.19 : 473,576.85 = 116,033.22 : x
  2. Step 2: Convert to fraction form
    315,728.19/473,576.85 = 116,033.22/x
  3. Step 3: Cross multiply
    315,728.19x = 473,576.85 × 116,033.22
  4. Step 4: Simplify right side
    315,728.19x = 54,950,646,822.96
  5. Step 5: Solve for x
    x = 54,950,646,822.96/315,728.19
  6. Step 6: Final answer
    x = 174,044.16

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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.