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Finding the Fourth Proportional to 288,200.60, 432,041.70 and 182,965.40

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Solution

The fourth proportional to 288,200.60, 432,041.70 and 182,965.40 is: 274,283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,200.60 : 432,041.70 = 182,965.40 : x
  2. Step 2: Convert to fraction form
    288,200.60/432,041.70 = 182,965.40/x
  3. Step 3: Cross multiply
    288,200.60x = 432,041.70 × 182,965.40
  4. Step 4: Simplify right side
    288,200.60x = 79,048,682,457.18
  5. Step 5: Solve for x
    x = 79,048,682,457.18/288,200.60
  6. Step 6: Final answer
    x = 274,283.55

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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.