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Finding the Fourth Proportional to 288,505.74, 432,714.82 and 101,473.50

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Solution

The fourth proportional to 288,505.74, 432,714.82 and 101,473.50 is: 152,194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,505.74 : 432,714.82 = 101,473.50 : x
  2. Step 2: Convert to fraction form
    288,505.74/432,714.82 = 101,473.50/x
  3. Step 3: Cross multiply
    288,505.74x = 432,714.82 × 101,473.50
  4. Step 4: Simplify right side
    288,505.74x = 43,909,087,287.27
  5. Step 5: Solve for x
    x = 43,909,087,287.27/288,505.74
  6. Step 6: Final answer
    x = 152,194.85

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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.