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Finding the Fourth Proportional to 314,115, 471,323.70 and 156,357.24

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Solution

The fourth proportional to 314,115, 471,323.70 and 156,357.24 is: 234,611.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,115 : 471,323.70 = 156,357.24 : x
  2. Step 2: Convert to fraction form
    314,115/471,323.70 = 156,357.24/x
  3. Step 3: Cross multiply
    314,115x = 471,323.70 × 156,357.24
  4. Step 4: Simplify right side
    314,115x = 73,694,872,878.59
  5. Step 5: Solve for x
    x = 73,694,872,878.59/314,115
  6. Step 6: Final answer
    x = 234,611.12

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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.