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Finding the Fourth Proportional to 301,677.54, 452,516.23 and 77,030

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Solution

The fourth proportional to 301,677.54, 452,516.23 and 77,030 is: 115,544.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,677.54 : 452,516.23 = 77,030 : x
  2. Step 2: Convert to fraction form
    301,677.54/452,516.23 = 77,030/x
  3. Step 3: Cross multiply
    301,677.54x = 452,516.23 × 77,030
  4. Step 4: Simplify right side
    301,677.54x = 34,857,325,196.90
  5. Step 5: Solve for x
    x = 34,857,325,196.90/301,677.54
  6. Step 6: Final answer
    x = 115,544.98

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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.