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Finding the Fourth Proportional to 412,671.60, 619,007.40 and 307,695.60

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Solution

The fourth proportional to 412,671.60, 619,007.40 and 307,695.60 is: 461,543.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,671.60 : 619,007.40 = 307,695.60 : x
  2. Step 2: Convert to fraction form
    412,671.60/619,007.40 = 307,695.60/x
  3. Step 3: Cross multiply
    412,671.60x = 619,007.40 × 307,695.60
  4. Step 4: Simplify right side
    412,671.60x = 190,465,853,347.44
  5. Step 5: Solve for x
    x = 190,465,853,347.44/412,671.60
  6. Step 6: Final answer
    x = 461,543.40

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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.