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Finding the Fourth Proportional to 315,853.34, 473,728.12 and 113,407.54

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Solution

The fourth proportional to 315,853.34, 473,728.12 and 113,407.54 is: 170,092.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,853.34 : 473,728.12 = 113,407.54 : x
  2. Step 2: Convert to fraction form
    315,853.34/473,728.12 = 113,407.54/x
  3. Step 3: Cross multiply
    315,853.34x = 473,728.12 × 113,407.54
  4. Step 4: Simplify right side
    315,853.34x = 53,724,339,250.19
  5. Step 5: Solve for x
    x = 53,724,339,250.19/315,853.34
  6. Step 6: Final answer
    x = 170,092.67

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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.