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Finding the Fourth Proportional to 384,086.40, 576,129.60 and 346,761.60

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Solution

The fourth proportional to 384,086.40, 576,129.60 and 346,761.60 is: 520,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,086.40 : 576,129.60 = 346,761.60 : x
  2. Step 2: Convert to fraction form
    384,086.40/576,129.60 = 346,761.60/x
  3. Step 3: Cross multiply
    384,086.40x = 576,129.60 × 346,761.60
  4. Step 4: Simplify right side
    384,086.40x = 199,779,621,903.36
  5. Step 5: Solve for x
    x = 199,779,621,903.36/384,086.40
  6. Step 6: Final answer
    x = 520,142.40

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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.