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Finding the Fourth Proportional to 638,506, 957,909.35 and 189,230.59

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Solution

The fourth proportional to 638,506, 957,909.35 and 189,230.59 is: 283,890.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,506 : 957,909.35 = 189,230.59 : x
  2. Step 2: Convert to fraction form
    638,506/957,909.35 = 189,230.59/x
  3. Step 3: Cross multiply
    638,506x = 957,909.35 × 189,230.59
  4. Step 4: Simplify right side
    638,506x = 181,265,751,467.02
  5. Step 5: Solve for x
    x = 181,265,751,467.02/638,506
  6. Step 6: Final answer
    x = 283,890.44

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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.