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Finding the Fourth Proportional to 594,909.96, 820,978.74 and 340,271.88

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Solution

The fourth proportional to 594,909.96, 820,978.74 and 340,271.88 is: 469,576.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,909.96 : 820,978.74 = 340,271.88 : x
  2. Step 2: Convert to fraction form
    594,909.96/820,978.74 = 340,271.88/x
  3. Step 3: Cross multiply
    594,909.96x = 820,978.74 × 340,271.88
  4. Step 4: Simplify right side
    594,909.96x = 279,355,979,299.83
  5. Step 5: Solve for x
    x = 279,355,979,299.83/594,909.96
  6. Step 6: Final answer
    x = 469,576.91

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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.