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Finding the Fourth Proportional to 301,646.40, 452,761.20 and 152,055.60

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Solution

The fourth proportional to 301,646.40, 452,761.20 and 152,055.60 is: 228,230.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,646.40 : 452,761.20 = 152,055.60 : x
  2. Step 2: Convert to fraction form
    301,646.40/452,761.20 = 152,055.60/x
  3. Step 3: Cross multiply
    301,646.40x = 452,761.20 × 152,055.60
  4. Step 4: Simplify right side
    301,646.40x = 68,844,875,922.72
  5. Step 5: Solve for x
    x = 68,844,875,922.72/301,646.40
  6. Step 6: Final answer
    x = 228,230.39

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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.