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Finding the Fourth Proportional to 557,420.12, 836,004.04 and 257,737.40

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Solution

The fourth proportional to 557,420.12, 836,004.04 and 257,737.40 is: 386,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,420.12 : 836,004.04 = 257,737.40 : x
  2. Step 2: Convert to fraction form
    557,420.12/836,004.04 = 257,737.40/x
  3. Step 3: Cross multiply
    557,420.12x = 836,004.04 × 257,737.40
  4. Step 4: Simplify right side
    557,420.12x = 215,469,507,659.10
  5. Step 5: Solve for x
    x = 215,469,507,659.10/557,420.12
  6. Step 6: Final answer
    x = 386,547.78

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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.