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Finding the Fourth Proportional to 378,041.20, 565,749.60 and 346,548.40

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Solution

The fourth proportional to 378,041.20, 565,749.60 and 346,548.40 is: 518,619.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,041.20 : 565,749.60 = 346,548.40 : x
  2. Step 2: Convert to fraction form
    378,041.20/565,749.60 = 346,548.40/x
  3. Step 3: Cross multiply
    378,041.20x = 565,749.60 × 346,548.40
  4. Step 4: Simplify right side
    378,041.20x = 196,059,618,680.64
  5. Step 5: Solve for x
    x = 196,059,618,680.64/378,041.20
  6. Step 6: Final answer
    x = 518,619.71

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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.