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Finding the Fourth Proportional to 288,385, 432,577.50 and 91,393

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Solution

The fourth proportional to 288,385, 432,577.50 and 91,393 is: 137,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,385 : 432,577.50 = 91,393 : x
  2. Step 2: Convert to fraction form
    288,385/432,577.50 = 91,393/x
  3. Step 3: Cross multiply
    288,385x = 432,577.50 × 91,393
  4. Step 4: Simplify right side
    288,385x = 39,534,555,457.50
  5. Step 5: Solve for x
    x = 39,534,555,457.50/288,385
  6. Step 6: Final answer
    x = 137,089.50

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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.