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Finding the Fourth Proportional to 805,854.40, 1,207,323.60 and 384,200.80

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Solution

The fourth proportional to 805,854.40, 1,207,323.60 and 384,200.80 is: 575,606.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,854.40 : 1,207,323.60 = 384,200.80 : x
  2. Step 2: Convert to fraction form
    805,854.40/1,207,323.60 = 384,200.80/x
  3. Step 3: Cross multiply
    805,854.40x = 1,207,323.60 × 384,200.80
  4. Step 4: Simplify right side
    805,854.40x = 463,854,692,978.88
  5. Step 5: Solve for x
    x = 463,854,692,978.88/805,854.40
  6. Step 6: Final answer
    x = 575,606.08

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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.