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Finding the Fourth Proportional to 257,468.40, 387,239.40 and 230,511.60

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Solution

The fourth proportional to 257,468.40, 387,239.40 and 230,511.60 is: 346,695.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,468.40 : 387,239.40 = 230,511.60 : x
  2. Step 2: Convert to fraction form
    257,468.40/387,239.40 = 230,511.60/x
  3. Step 3: Cross multiply
    257,468.40x = 387,239.40 × 230,511.60
  4. Step 4: Simplify right side
    257,468.40x = 89,263,173,677.04
  5. Step 5: Solve for x
    x = 89,263,173,677.04/257,468.40
  6. Step 6: Final answer
    x = 346,695.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.