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Finding the Fourth Proportional to 587,202.80, 879,767.40 and 365,327.60

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Solution

The fourth proportional to 587,202.80, 879,767.40 and 365,327.60 is: 547,346.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,202.80 : 879,767.40 = 365,327.60 : x
  2. Step 2: Convert to fraction form
    587,202.80/879,767.40 = 365,327.60/x
  3. Step 3: Cross multiply
    587,202.80x = 879,767.40 × 365,327.60
  4. Step 4: Simplify right side
    587,202.80x = 321,403,312,800.24
  5. Step 5: Solve for x
    x = 321,403,312,800.24/587,202.80
  6. Step 6: Final answer
    x = 547,346.36

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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.