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Finding the Fourth Proportional to 579,202.92, 798,826.14 and 407,688.66

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Solution

The fourth proportional to 579,202.92, 798,826.14 and 407,688.66 is: 562,276.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,202.92 : 798,826.14 = 407,688.66 : x
  2. Step 2: Convert to fraction form
    579,202.92/798,826.14 = 407,688.66/x
  3. Step 3: Cross multiply
    579,202.92x = 798,826.14 × 407,688.66
  4. Step 4: Simplify right side
    579,202.92x = 325,672,358,589.57
  5. Step 5: Solve for x
    x = 325,672,358,589.57/579,202.92
  6. Step 6: Final answer
    x = 562,276.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.