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Finding the Fourth Proportional to 301,545.38, 416,113.74 and 165,578.68

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Solution

The fourth proportional to 301,545.38, 416,113.74 and 165,578.68 is: 228,488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,545.38 : 416,113.74 = 165,578.68 : x
  2. Step 2: Convert to fraction form
    301,545.38/416,113.74 = 165,578.68/x
  3. Step 3: Cross multiply
    301,545.38x = 416,113.74 × 165,578.68
  4. Step 4: Simplify right side
    301,545.38x = 68,899,564,319.21
  5. Step 5: Solve for x
    x = 68,899,564,319.21/301,545.38
  6. Step 6: Final answer
    x = 228,488.21

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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.