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Finding the Fourth Proportional to 288,686.84, 433,117.74 and 130,872.92

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Solution

The fourth proportional to 288,686.84, 433,117.74 and 130,872.92 is: 196,349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,686.84 : 433,117.74 = 130,872.92 : x
  2. Step 2: Convert to fraction form
    288,686.84/433,117.74 = 130,872.92/x
  3. Step 3: Cross multiply
    288,686.84x = 433,117.74 × 130,872.92
  4. Step 4: Simplify right side
    288,686.84x = 56,683,383,337.60
  5. Step 5: Solve for x
    x = 56,683,383,337.60/288,686.84
  6. Step 6: Final answer
    x = 196,349.04

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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.