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Finding the Fourth Proportional to 288,832.75, 433,259.01 and 99,291.50

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Solution

The fourth proportional to 288,832.75, 433,259.01 and 99,291.50 is: 148,940.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,832.75 : 433,259.01 = 99,291.50 : x
  2. Step 2: Convert to fraction form
    288,832.75/433,259.01 = 99,291.50/x
  3. Step 3: Cross multiply
    288,832.75x = 433,259.01 × 99,291.50
  4. Step 4: Simplify right side
    288,832.75x = 43,018,937,634.55
  5. Step 5: Solve for x
    x = 43,018,937,634.55/288,832.75
  6. Step 6: Final answer
    x = 148,940.65

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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.