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Finding the Fourth Proportional to 797,000.96, 1,099,854.30 and 434,424.80

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Solution

The fourth proportional to 797,000.96, 1,099,854.30 and 434,424.80 is: 599,502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,000.96 : 1,099,854.30 = 434,424.80 : x
  2. Step 2: Convert to fraction form
    797,000.96/1,099,854.30 = 434,424.80/x
  3. Step 3: Cross multiply
    797,000.96x = 1,099,854.30 × 434,424.80
  4. Step 4: Simplify right side
    797,000.96x = 477,803,984,306.64
  5. Step 5: Solve for x
    x = 477,803,984,306.64/797,000.96
  6. Step 6: Final answer
    x = 599,502.39

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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.