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Finding the Fourth Proportional to 316,015.85, 474,070.98 and 116,321.06

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Solution

The fourth proportional to 316,015.85, 474,070.98 and 116,321.06 is: 174,498.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,015.85 : 474,070.98 = 116,321.06 : x
  2. Step 2: Convert to fraction form
    316,015.85/474,070.98 = 116,321.06/x
  3. Step 3: Cross multiply
    316,015.85x = 474,070.98 × 116,321.06
  4. Step 4: Simplify right side
    316,015.85x = 55,144,436,538.48
  5. Step 5: Solve for x
    x = 55,144,436,538.48/316,015.85
  6. Step 6: Final answer
    x = 174,498.96

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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.