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Finding the Fourth Proportional to 613,124.69, 919,825.43 and 186,698.64

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Solution

The fourth proportional to 613,124.69, 919,825.43 and 186,698.64 is: 280,090.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,124.69 : 919,825.43 = 186,698.64 : x
  2. Step 2: Convert to fraction form
    613,124.69/919,825.43 = 186,698.64/x
  3. Step 3: Cross multiply
    613,124.69x = 919,825.43 × 186,698.64
  4. Step 4: Simplify right side
    613,124.69x = 171,730,156,818.42
  5. Step 5: Solve for x
    x = 171,730,156,818.42/613,124.69
  6. Step 6: Final answer
    x = 280,090.10

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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.