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Finding the Fourth Proportional to 293,847.60, 440,771.40 and 188,871.60

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Solution

The fourth proportional to 293,847.60, 440,771.40 and 188,871.60 is: 283,307.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,847.60 : 440,771.40 = 188,871.60 : x
  2. Step 2: Convert to fraction form
    293,847.60/440,771.40 = 188,871.60/x
  3. Step 3: Cross multiply
    293,847.60x = 440,771.40 × 188,871.60
  4. Step 4: Simplify right side
    293,847.60x = 83,249,199,552.24
  5. Step 5: Solve for x
    x = 83,249,199,552.24/293,847.60
  6. Step 6: Final answer
    x = 283,307.40

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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.