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Finding the Fourth Proportional to 317,295.86, 475,945.43 and 106,935.62

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Solution

The fourth proportional to 317,295.86, 475,945.43 and 106,935.62 is: 160,403.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,295.86 : 475,945.43 = 106,935.62 : x
  2. Step 2: Convert to fraction form
    317,295.86/475,945.43 = 106,935.62/x
  3. Step 3: Cross multiply
    317,295.86x = 475,945.43 × 106,935.62
  4. Step 4: Simplify right side
    317,295.86x = 50,895,516,728.81
  5. Step 5: Solve for x
    x = 50,895,516,728.81/317,295.86
  6. Step 6: Final answer
    x = 160,403.98

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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.