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Finding the Fourth Proportional to 301,603.72, 452,405.30 and 76,964.16

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Solution

The fourth proportional to 301,603.72, 452,405.30 and 76,964.16 is: 115,446.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,603.72 : 452,405.30 = 76,964.16 : x
  2. Step 2: Convert to fraction form
    301,603.72/452,405.30 = 76,964.16/x
  3. Step 3: Cross multiply
    301,603.72x = 452,405.30 × 76,964.16
  4. Step 4: Simplify right side
    301,603.72x = 34,818,992,835.46
  5. Step 5: Solve for x
    x = 34,818,992,835.46/301,603.72
  6. Step 6: Final answer
    x = 115,446.16

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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.