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Finding the Fourth Proportional to 301,716, 452,969.52 and 202,320.96

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Solution

The fourth proportional to 301,716, 452,969.52 and 202,320.96 is: 303,746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,716 : 452,969.52 = 202,320.96 : x
  2. Step 2: Convert to fraction form
    301,716/452,969.52 = 202,320.96/x
  3. Step 3: Cross multiply
    301,716x = 452,969.52 × 202,320.96
  4. Step 4: Simplify right side
    301,716x = 91,645,228,137.14
  5. Step 5: Solve for x
    x = 91,645,228,137.14/301,716
  6. Step 6: Final answer
    x = 303,746.66

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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.