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Finding the Fourth Proportional to 287,056.96, 430,584.96 and 97,537.04

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Solution

The fourth proportional to 287,056.96, 430,584.96 and 97,537.04 is: 146,305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,056.96 : 430,584.96 = 97,537.04 : x
  2. Step 2: Convert to fraction form
    287,056.96/430,584.96 = 97,537.04/x
  3. Step 3: Cross multiply
    287,056.96x = 430,584.96 × 97,537.04
  4. Step 4: Simplify right side
    287,056.96x = 41,997,982,466.92
  5. Step 5: Solve for x
    x = 41,997,982,466.92/287,056.96
  6. Step 6: Final answer
    x = 146,305.40

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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.