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Finding the Fourth Proportional to 288,835.50, 433,263.14 and 99,294.26

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Solution

The fourth proportional to 288,835.50, 433,263.14 and 99,294.26 is: 148,944.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,835.50 : 433,263.14 = 99,294.26 : x
  2. Step 2: Convert to fraction form
    288,835.50/433,263.14 = 99,294.26/x
  3. Step 3: Cross multiply
    288,835.50x = 433,263.14 × 99,294.26
  4. Step 4: Simplify right side
    288,835.50x = 43,020,542,871.58
  5. Step 5: Solve for x
    x = 43,020,542,871.58/288,835.50
  6. Step 6: Final answer
    x = 148,944.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.