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Finding the Fourth Proportional to 288,726.56, 433,114 and 75,494.06

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Solution

The fourth proportional to 288,726.56, 433,114 and 75,494.06 is: 113,247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,726.56 : 433,114 = 75,494.06 : x
  2. Step 2: Convert to fraction form
    288,726.56/433,114 = 75,494.06/x
  3. Step 3: Cross multiply
    288,726.56x = 433,114 × 75,494.06
  4. Step 4: Simplify right side
    288,726.56x = 32,697,534,302.84
  5. Step 5: Solve for x
    x = 32,697,534,302.84/288,726.56
  6. Step 6: Final answer
    x = 113,247.41

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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.