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Finding the Fourth Proportional to 286,632.76, 430,010.32 and 97,086.50

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Solution

The fourth proportional to 286,632.76, 430,010.32 and 97,086.50 is: 145,650.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,632.76 : 430,010.32 = 97,086.50 : x
  2. Step 2: Convert to fraction form
    286,632.76/430,010.32 = 97,086.50/x
  3. Step 3: Cross multiply
    286,632.76x = 430,010.32 × 97,086.50
  4. Step 4: Simplify right side
    286,632.76x = 41,748,196,932.68
  5. Step 5: Solve for x
    x = 41,748,196,932.68/286,632.76
  6. Step 6: Final answer
    x = 145,650.47

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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.