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Finding the Fourth Proportional to 314,091, 471,287.70 and 156,333.24

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Solution

The fourth proportional to 314,091, 471,287.70 and 156,333.24 is: 234,575.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,091 : 471,287.70 = 156,333.24 : x
  2. Step 2: Convert to fraction form
    314,091/471,287.70 = 156,333.24/x
  3. Step 3: Cross multiply
    314,091x = 471,287.70 × 156,333.24
  4. Step 4: Simplify right side
    314,091x = 73,677,933,113.15
  5. Step 5: Solve for x
    x = 73,677,933,113.15/314,091
  6. Step 6: Final answer
    x = 234,575.12

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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.