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Finding the Fourth Proportional to 315,716.27, 473,578.46 and 105,354.21

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Solution

The fourth proportional to 315,716.27, 473,578.46 and 105,354.21 is: 158,032.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,716.27 : 473,578.46 = 105,354.21 : x
  2. Step 2: Convert to fraction form
    315,716.27/473,578.46 = 105,354.21/x
  3. Step 3: Cross multiply
    315,716.27x = 473,578.46 × 105,354.21
  4. Step 4: Simplify right side
    315,716.27x = 49,893,483,999.55
  5. Step 5: Solve for x
    x = 49,893,483,999.55/315,716.27
  6. Step 6: Final answer
    x = 158,032.67

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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.