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Finding the Fourth Proportional to 288,999.60, 433,499.40 and 229,513.20

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Solution

The fourth proportional to 288,999.60, 433,499.40 and 229,513.20 is: 344,269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,999.60 : 433,499.40 = 229,513.20 : x
  2. Step 2: Convert to fraction form
    288,999.60/433,499.40 = 229,513.20/x
  3. Step 3: Cross multiply
    288,999.60x = 433,499.40 × 229,513.20
  4. Step 4: Simplify right side
    288,999.60x = 99,493,834,492.08
  5. Step 5: Solve for x
    x = 99,493,834,492.08/288,999.60
  6. Step 6: Final answer
    x = 344,269.80

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1.5x scale

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.