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Finding the Fourth Proportional to 287,576.92, 431,368.11 and 77,214.86

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Solution

The fourth proportional to 287,576.92, 431,368.11 and 77,214.86 is: 115,823.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,576.92 : 431,368.11 = 77,214.86 : x
  2. Step 2: Convert to fraction form
    287,576.92/431,368.11 = 77,214.86/x
  3. Step 3: Cross multiply
    287,576.92x = 431,368.11 × 77,214.86
  4. Step 4: Simplify right side
    287,576.92x = 33,308,028,222.11
  5. Step 5: Solve for x
    x = 33,308,028,222.11/287,576.92
  6. Step 6: Final answer
    x = 115,823.02

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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.