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Finding the Fourth Proportional to 301,709.38, 416,359.21 and 165,752.13

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Solution

The fourth proportional to 301,709.38, 416,359.21 and 165,752.13 is: 228,738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,709.38 : 416,359.21 = 165,752.13 : x
  2. Step 2: Convert to fraction form
    301,709.38/416,359.21 = 165,752.13/x
  3. Step 3: Cross multiply
    301,709.38x = 416,359.21 × 165,752.13
  4. Step 4: Simplify right side
    301,709.38x = 69,012,426,317.00
  5. Step 5: Solve for x
    x = 69,012,426,317.00/301,709.38
  6. Step 6: Final answer
    x = 228,738.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.