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Finding the Fourth Proportional to 288,564.12, 433,009.26 and 155,441.16

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Solution

The fourth proportional to 288,564.12, 433,009.26 and 155,441.16 is: 233,249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,564.12 : 433,009.26 = 155,441.16 : x
  2. Step 2: Convert to fraction form
    288,564.12/433,009.26 = 155,441.16/x
  3. Step 3: Cross multiply
    288,564.12x = 433,009.26 × 155,441.16
  4. Step 4: Simplify right side
    288,564.12x = 67,307,461,665.14
  5. Step 5: Solve for x
    x = 67,307,461,665.14/288,564.12
  6. Step 6: Final answer
    x = 233,249.59

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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.