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Finding the Fourth Proportional to 301,484.27, 416,017.46 and 174,200.87

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Solution

The fourth proportional to 301,484.27, 416,017.46 and 174,200.87 is: 240,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,484.27 : 416,017.46 = 174,200.87 : x
  2. Step 2: Convert to fraction form
    301,484.27/416,017.46 = 174,200.87/x
  3. Step 3: Cross multiply
    301,484.27x = 416,017.46 × 174,200.87
  4. Step 4: Simplify right side
    301,484.27x = 72,470,603,467.19
  5. Step 5: Solve for x
    x = 72,470,603,467.19/301,484.27
  6. Step 6: Final answer
    x = 240,379.39

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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.