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Finding the Fourth Proportional to 313,263.01, 469,894.52 and 76,602.88

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Solution

The fourth proportional to 313,263.01, 469,894.52 and 76,602.88 is: 114,904.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,263.01 : 469,894.52 = 76,602.88 : x
  2. Step 2: Convert to fraction form
    313,263.01/469,894.52 = 76,602.88/x
  3. Step 3: Cross multiply
    313,263.01x = 469,894.52 × 76,602.88
  4. Step 4: Simplify right side
    313,263.01x = 35,995,273,528.22
  5. Step 5: Solve for x
    x = 35,995,273,528.22/313,263.01
  6. Step 6: Final answer
    x = 114,904.32

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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.